From 7cad73c8009d93d2c9ee3aa9167b425e0064d221 Mon Sep 17 00:00:00 2001
From: simranchhattani
Date: Sat, 20 Jun 2020 21:32:51 +0530
Subject: Delete Subspace_Example.py

---
 .../Vector-Spaces/Subspaces/Subspace_Example.py    | 82 ----------------------
 1 file changed, 82 deletions(-)
 delete mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Subspace_Example.py

(limited to 'FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces')

diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Subspace_Example.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Subspace_Example.py
deleted file mode 100644
index ada173e..0000000
--- a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Subspace_Example.py
+++ /dev/null
@@ -1,82 +0,0 @@
-from manimlib.imports import *
-class Subspace_Example(Scene):
-    def construct(self):
-        sq = Square(side = 2, color=BLACK).shift(2*LEFT)
-        sq.set_fill(color=RED,opacity=350)
-        line1=Line(color=BLACK).shift(2*LEFT)
-        line1.rotate(np.pi/2)
-        line2=Line(color=BLACK).shift(2.5*LEFT+0.5*UP)
-        line2.scale(0.5)
-        line3=Line(color=BLACK).shift(+1.5*LEFT)
-        line3.scale(0.5)
-        a1=TextMobject(r"$a_1$",color=BLACK).scale(0.5).shift(3.4*LEFT+0.7*UP)
-        a2=TextMobject(r"$a_2$",color=BLACK).scale(0.5).shift(3.4*LEFT+0.3*DOWN)
-        a3=TextMobject(r"$a_3$",color=BLACK).scale(0.5).shift(0.7*LEFT+0.5*DOWN)
-        a4=TextMobject(r"$a_4$",color=BLACK).scale(0.5).shift(0.7*LEFT+0.5*UP)
-        big_rect=Rectangle().scale(3).shift(0.5*DOWN)
-        big_rect.set_fill(color=GREY,opacity=350)
-        vec_space=TextMobject("$Vector Space$").scale(0.77).shift(4.5*RIGHT+3.5*UP)
-        sub=TextMobject(r"$Subspace$",color=BLACK).scale(0.77).shift(3.8*RIGHT+2*UP)
-        self.play(ShowCreation(vec_space))
-        self.play(ShowCreation(big_rect),ShowCreation(sub))
-        self.play(ShowCreation(sq),ShowCreation(line1),ShowCreation(line2),ShowCreation(line3),ShowCreation(a1),ShowCreation(a2),ShowCreation(a3),ShowCreation(a4))
-        rec = Rectangle(color=BLACK).scale(0.5).shift(1*RIGHT)
-        rec.rotate(np.pi/2)
-        rec.set_fill(color=BLUE,opacity=350)
-        line4=Line(color=BLACK).shift(1*RIGHT).rotate(np.pi/2)
-        line5=Line(color=BLACK).scale(0.25).shift(0.75*RIGHT)
-        line6=Line(color=BLACK).scale(0.25).shift(0.5*DOWN+1.25*RIGHT)
-        b1=TextMobject(r"$b_1$",color=BLACK).scale(0.5).shift(0.3*RIGHT+0.5*UP)
-        b2=TextMobject(r"$b_2$",color=BLACK).scale(0.5).shift(0.3*RIGHT+0.5*DOWN)
-        b3=TextMobject(r"$b_3$",color=BLACK).scale(0.5).shift(1.67*RIGHT+0.8*DOWN)
-        b4=TextMobject(r"$b_4$",color=BLACK).scale(0.5).shift(1.67*RIGHT+0.5*UP)
-        self.play(ShowCreation(rec),ShowCreation(line4),ShowCreation(line5),ShowCreation(line6),ShowCreation(b1),ShowCreation(b2),ShowCreation(b3),ShowCreation(b4))
-        self.wait(1)
-        text1=TextMobject(r"$a_1 + a_2 = a_3 + a_4$",color=BLACK).scale(0.5).shift(2*LEFT+1.5*DOWN)
-        text2=TextMobject(r"$b_1 + b_2 = b_3 + b_4$",color=BLACK).scale(0.5).shift(1.5*RIGHT+1.5*DOWN)
-        self.play(ShowCreation(text1),ShowCreation(text2))
-        self.wait(3)
-        self.play(FadeOut(text1),FadeOut(text2))
-        rec.shift(3*LEFT+2.01*DOWN)
-        line4.shift(3*LEFT+2*DOWN)
-        line5.shift(3*LEFT+2*DOWN)
-        line6.shift(3*LEFT+2*DOWN)
-        b1.shift(3.1*LEFT+2.1*DOWN)
-        b2.shift(3.1*LEFT+2.1*DOWN)
-        b3.shift(2.9*LEFT+2*DOWN)
-        b4.shift(2.9*LEFT+2.3*DOWN)
-        self.play(ShowCreation(rec),ShowCreation(line4),ShowCreation(line5),ShowCreation(line6),ShowCreation(b1),ShowCreation(b2),ShowCreation(b3),ShowCreation(b4))
-        self.wait(2)
-        
-        text3=TextMobject(r"$(a_1 + a_2) + (b_1 + b_2) = (a_3 + a_4) + (b_3 + b_4)$",color=BLACK).scale(0.5).shift(2.5*RIGHT+0.5*DOWN)
-        text3=TextMobject(r"$(a_1 + a_2) + (b_1 + b_2) = (a_3 + a_4) + (b_3 + b_4)$",color=BLACK).scale(0.5).shift(2.5*RIGHT+0.5*DOWN)
-        text4=TextMobject("Vector Addition",color=BLACK).scale(0.8).shift(2.5*RIGHT+0.5*UP)
-        self.play(ShowCreation(text3),ShowCreation(text4))
-        self.wait(3)
-        rec.set_fill(color=GREY,opacity=350)
-        self.play(FadeOut(text3),FadeOut(text4),FadeOut(line4),FadeOut(line5),FadeOut(line6),FadeOut(rec),FadeOut(b4),FadeOut(b3),FadeOut(b2),FadeOut(b1))
-        sq1=Square(color=BLACK).scale(0.5).shift(1.5*LEFT+1.5*UP)
-        sq1.set_fill(color=RED,opacity=350)
-        sq2=Square(color=BLACK).scale(0.5).shift(1.5*LEFT+1.5*DOWN)
-        sq2.set_fill(color=RED,opacity=350)
-        rec1=Rectangle(height=0.5,width=1,color=BLACK).shift(2.5*LEFT+1.2*UP)
-        rec1.set_fill(color=RED,opacity=350)
-        rec2=Rectangle(height=1.5,width=1,color=BLACK)
-        rec2.set_fill(color=RED,opacity=350).shift(2.5*LEFT+1.5*DOWN)
-        self.play(ShowCreation(sq1),ShowCreation(sq2),ShowCreation(rec1),ShowCreation(rec2))
-        a=TextMobject(r"$a_1$",color=BLACK).scale(0.5).shift(3.4*LEFT+1.2*UP)
-        b=TextMobject(r"$a_2$",color=BLACK).scale(0.5).shift(3.4*LEFT+1.4*DOWN)
-        c=TextMobject(r"$a_3$",color=BLACK).scale(0.5).shift(0.7*LEFT+1.4*DOWN)
-        d=TextMobject(r"$a_4$",color=BLACK).scale(0.5).shift(0.7*LEFT+1.4*UP)
-        self.play(ShowCreation(a),ShowCreation(b),ShowCreation(c),ShowCreation(d))
-        self.wait(2.3)
-        text4=TextMobject("Scalar Multiplication",color=BLACK).scale(0.8).shift(2.5*RIGHT+0.5*UP)
-        text5=TextMobject(r"$\implies 2(a_1 + a_2) = 2(a_3 + a_4)$",color=BLACK).scale(0.5).shift(2*RIGHT+0.5*DOWN)
-        text6=TextMobject(r"$(a_1 + a_1) + (a_2 + a_2) = (a_3 + a_3) + (a_4 +a_4)$",color=BLACK).scale(0.5).shift(2.5*RIGHT)
-        self.play(ShowCreation(text4),ShowCreation(text5),ShowCreation(text6))
-        self.wait(3)
-
-        
-
-
-
-- 
cgit 


From 48f264dcde24c776f501f6e8f16d5da6aa47ba4d Mon Sep 17 00:00:00 2001
From: simranchhattani
Date: Sat, 20 Jun 2020 21:34:58 +0530
Subject: Add files via upload

---
 .../Vector-Spaces/Subspaces/Subspace_Example.py    | 86 ++++++++++++++++++++++
 1 file changed, 86 insertions(+)
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Subspace_Example.py

(limited to 'FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces')

diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Subspace_Example.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Subspace_Example.py
new file mode 100644
index 0000000..d87cd89
--- /dev/null
+++ b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Subspace_Example.py
@@ -0,0 +1,86 @@
+from manimlib.imports import *
+class Subspace_Example(Scene):
+    def construct(self):
+        sq = Square(side = 2, color=BLACK).shift(2*LEFT)
+        sq.set_fill(color=RED,opacity=350)
+        line1=Line(color=BLACK).shift(2*LEFT)
+        line1.rotate(np.pi/2)
+        line2=Line(color=BLACK).shift(2.5*LEFT+0.5*UP)
+        line2.scale(0.5)
+        line3=Line(color=BLACK).shift(+1.5*LEFT)
+        line3.scale(0.5)
+        a1=TextMobject(r"$a_1$",color=BLACK).scale(0.5).shift(3.4*LEFT+0.7*UP)
+        a2=TextMobject(r"$a_2$",color=BLACK).scale(0.5).shift(3.4*LEFT+0.3*DOWN)
+        a3=TextMobject(r"$a_3$",color=BLACK).scale(0.5).shift(0.7*LEFT+0.5*DOWN)
+        a4=TextMobject(r"$a_4$",color=BLACK).scale(0.5).shift(0.7*LEFT+0.5*UP)
+        big_rect1 = Rectangle().scale(3.3).shift(0.3*DOWN)
+        big_rect1.set_fill(color=GOLD,opacity=350)
+
+
+        big_rect2=Rectangle().scale(2.7).shift(0.5*DOWN)
+        big_rect2.set_fill(color=GREY,opacity=350)
+        vec_space=TextMobject("$Vector Space$",color=BLACK).scale(0.73).shift(4.65*RIGHT+2.6*UP)
+        sub=TextMobject(r"$Subspace$",color=BLACK).scale(0.73).shift(3.8*RIGHT+1.7*UP)
+        self.play(ShowCreation(big_rect1),ShowCreation(vec_space))
+        self.play(ShowCreation(big_rect2),ShowCreation(sub))
+        self.play(ShowCreation(sq),ShowCreation(line1),ShowCreation(line2),ShowCreation(line3),ShowCreation(a1),ShowCreation(a2),ShowCreation(a3),ShowCreation(a4))
+        rec = Rectangle(color=BLACK).scale(0.5).shift(1*RIGHT)
+        rec.rotate(np.pi/2)
+        rec.set_fill(color=BLUE,opacity=350)
+        line4=Line(color=BLACK).shift(1*RIGHT).rotate(np.pi/2)
+        line5=Line(color=BLACK).scale(0.25).shift(0.75*RIGHT)
+        line6=Line(color=BLACK).scale(0.25).shift(0.5*DOWN+1.25*RIGHT)
+        b1=TextMobject(r"$b_1$",color=BLACK).scale(0.5).shift(0.3*RIGHT+0.5*UP)
+        b2=TextMobject(r"$b_2$",color=BLACK).scale(0.5).shift(0.3*RIGHT+0.5*DOWN)
+        b3=TextMobject(r"$b_3$",color=BLACK).scale(0.5).shift(1.67*RIGHT+0.8*DOWN)
+        b4=TextMobject(r"$b_4$",color=BLACK).scale(0.5).shift(1.67*RIGHT+0.5*UP)
+        self.play(ShowCreation(rec),ShowCreation(line4),ShowCreation(line5),ShowCreation(line6),ShowCreation(b1),ShowCreation(b2),ShowCreation(b3),ShowCreation(b4))
+        self.wait(1)
+        text1=TextMobject(r"$a_1 + a_2 = a_3 + a_4$",color=BLACK).scale(0.5).shift(2*LEFT+1.5*DOWN)
+        text2=TextMobject(r"$b_1 + b_2 = b_3 + b_4$",color=BLACK).scale(0.5).shift(1.5*RIGHT+1.5*DOWN)
+        self.play(ShowCreation(text1),ShowCreation(text2))
+        self.wait(3)
+        self.play(FadeOut(text1),FadeOut(text2))
+        rec.shift(3*LEFT+2.01*DOWN)
+        line4.shift(3*LEFT+2*DOWN)
+        line5.shift(3*LEFT+2*DOWN)
+        line6.shift(3*LEFT+2*DOWN)
+        b1.shift(3.1*LEFT+2.1*DOWN)
+        b2.shift(3.1*LEFT+2.1*DOWN)
+        b3.shift(2.9*LEFT+2*DOWN)
+        b4.shift(2.9*LEFT+2.3*DOWN)
+        self.play(ShowCreation(rec),ShowCreation(line4),ShowCreation(line5),ShowCreation(line6),ShowCreation(b1),ShowCreation(b2),ShowCreation(b3),ShowCreation(b4))
+        self.wait(2)
+        
+        text3=TextMobject(r"$(a_1 + a_2) + (b_1 + b_2) = (a_3 + a_4) + (b_3 + b_4)$",color=BLACK).scale(0.5).shift(2.5*RIGHT+0.5*DOWN)
+        text3=TextMobject(r"$(a_1 + a_2) + (b_1 + b_2) = (a_3 + a_4) + (b_3 + b_4)$",color=BLACK).scale(0.5).shift(2.5*RIGHT+0.5*DOWN)
+        text4=TextMobject("Vector Addition",color=BLACK).scale(0.8).shift(2.5*RIGHT+0.5*UP)
+        self.play(ShowCreation(text3),ShowCreation(text4))
+        self.wait(3)
+        rec.set_fill(color=GREY,opacity=350)
+        self.play(FadeOut(text3),FadeOut(text4),FadeOut(line4),FadeOut(line5),FadeOut(line6),FadeOut(rec),FadeOut(b4),FadeOut(b3),FadeOut(b2),FadeOut(b1))
+        sq1=Square(color=BLACK).scale(0.5).shift(1.5*LEFT+1.5*UP)
+        sq1.set_fill(color=RED,opacity=350)
+        sq2=Square(color=BLACK).scale(0.5).shift(1.5*LEFT+1.5*DOWN)
+        sq2.set_fill(color=RED,opacity=350)
+        rec1=Rectangle(height=0.5,width=1,color=BLACK).shift(2.5*LEFT+1.2*UP)
+        rec1.set_fill(color=RED,opacity=350)
+        rec2=Rectangle(height=1.5,width=1,color=BLACK)
+        rec2.set_fill(color=RED,opacity=350).shift(2.5*LEFT+1.5*DOWN)
+        self.play(ShowCreation(sq1),ShowCreation(sq2),ShowCreation(rec1),ShowCreation(rec2))
+        a=TextMobject(r"$a_1$",color=BLACK).scale(0.5).shift(3.4*LEFT+1.2*UP)
+        b=TextMobject(r"$a_2$",color=BLACK).scale(0.5).shift(3.4*LEFT+1.4*DOWN)
+        c=TextMobject(r"$a_3$",color=BLACK).scale(0.5).shift(0.7*LEFT+1.4*DOWN)
+        d=TextMobject(r"$a_4$",color=BLACK).scale(0.5).shift(0.7*LEFT+1.4*UP)
+        self.play(ShowCreation(a),ShowCreation(b),ShowCreation(c),ShowCreation(d))
+        self.wait(2.3)
+        text4=TextMobject("Scalar Multiplication",color=BLACK).scale(0.8).shift(2.5*RIGHT+0.5*UP)
+        text5=TextMobject(r"$\implies 2(a_1 + a_2) = 2(a_3 + a_4)$",color=BLACK).scale(0.5).shift(2*RIGHT+0.5*DOWN)
+        text6=TextMobject(r"$(a_1 + a_1) + (a_2 + a_2) = (a_3 + a_3) + (a_4 +a_4)$",color=BLACK).scale(0.5).shift(2.5*RIGHT)
+        self.play(ShowCreation(text4),ShowCreation(text5),ShowCreation(text6))
+        self.wait(3)
+
+        
+
+
+
-- 
cgit 


From 2c81d2ccbcd01dec465c5f1186fa65b3516c56dd Mon Sep 17 00:00:00 2001
From: simranchhattani
Date: Sat, 20 Jun 2020 21:36:05 +0530
Subject: Add files via upload

---
 .../Vector-Spaces/Subspaces/gifs/Subspace_Example.mp4  | Bin 0 -> 608079 bytes
 1 file changed, 0 insertions(+), 0 deletions(-)
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Subspace_Example.mp4

(limited to 'FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces')

diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Subspace_Example.mp4 b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Subspace_Example.mp4
new file mode 100644
index 0000000..46e1f3b
Binary files /dev/null and b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Subspace_Example.mp4 differ
-- 
cgit 


From adbdd989f5d27461c457ab21601e907241ca0fd8 Mon Sep 17 00:00:00 2001
From: simranchhattani
Date: Sat, 20 Jun 2020 21:37:02 +0530
Subject: Delete Subspace_Example.gif

---
 .../Vector-Spaces/Subspaces/gifs/Subspace_Example.gif  | Bin 647405 -> 0 bytes
 1 file changed, 0 insertions(+), 0 deletions(-)
 delete mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Subspace_Example.gif

(limited to 'FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces')

diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Subspace_Example.gif b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Subspace_Example.gif
deleted file mode 100644
index 32b02be..0000000
Binary files a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Subspace_Example.gif and /dev/null differ
-- 
cgit 


From cd6b1e54d2aa5b00a1268f21ef27c9a9be2580c8 Mon Sep 17 00:00:00 2001
From: simranchhattani
Date: Sun, 21 Jun 2020 21:12:56 +0530
Subject: Add files via upload

---
 .../Vector-Spaces/Subspaces/Linear_Subspace.py     | 37 ++++++++++++++++++++++
 1 file changed, 37 insertions(+)
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Linear_Subspace.py

(limited to 'FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces')

diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Linear_Subspace.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Linear_Subspace.py
new file mode 100644
index 0000000..868c28b
--- /dev/null
+++ b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Linear_Subspace.py
@@ -0,0 +1,37 @@
+from manimlib.imports import *
+class Subspace(ThreeDScene):
+
+
+    def construct(self):
+        axes = ThreeDAxes()
+        self.set_camera_orientation(phi = 80*DEGREES,theta =110*DEGREES)
+        self.begin_ambient_camera_rotation(rate=0.09)
+        cube = Cube(stroke_width=5,color=WHITE).shift([1.5,1.5,1.5]).scale(1.5)
+        cube.set_fill(TEAL)
+        
+        cube.set_opacity(0.4) 
+        line = Line(color=MAROON,set_opacity=100).shift([1.5,1.5,1.5]).scale(1.5)
+        plane1 = Polygon([0,0,3],[3,0,3],[3,3,0],[0,3,0])
+        plane1.set_opacity(0.8)
+        plane1.set_fill(YELLOW)
+        plane1.set_color(YELLOW)
+        
+        
+        plane2 = Polygon([0,3,3],[3,3,3],[3,0,0],[0,0,0])
+        plane2.set_opacity(0.7)
+        plane2.set_fill(RED)
+        plane2.set_color(RED)
+
+        vgroup = VGroup(plane1,plane2,line,cube)
+        vgroup.shift([-1,-1,-1])
+        
+        
+        self.play(ShowCreation(cube))
+        self.play(ShowCreation(plane1))
+        self.play(ShowCreation(plane2))
+        self.play(ShowCreation(line))
+        self.wait(10)
+
+        
+
+  
\ No newline at end of file
-- 
cgit 


From d673d5990567fe5fdb535469d1a29395ef42a0b0 Mon Sep 17 00:00:00 2001
From: simranchhattani
Date: Sun, 21 Jun 2020 22:58:03 +0530
Subject: Delete Linear_Subspace.py

---
 .../Vector-Spaces/Subspaces/Linear_Subspace.py     | 37 ----------------------
 1 file changed, 37 deletions(-)
 delete mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Linear_Subspace.py

(limited to 'FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces')

diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Linear_Subspace.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Linear_Subspace.py
deleted file mode 100644
index 868c28b..0000000
--- a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Linear_Subspace.py
+++ /dev/null
@@ -1,37 +0,0 @@
-from manimlib.imports import *
-class Subspace(ThreeDScene):
-
-
-    def construct(self):
-        axes = ThreeDAxes()
-        self.set_camera_orientation(phi = 80*DEGREES,theta =110*DEGREES)
-        self.begin_ambient_camera_rotation(rate=0.09)
-        cube = Cube(stroke_width=5,color=WHITE).shift([1.5,1.5,1.5]).scale(1.5)
-        cube.set_fill(TEAL)
-        
-        cube.set_opacity(0.4) 
-        line = Line(color=MAROON,set_opacity=100).shift([1.5,1.5,1.5]).scale(1.5)
-        plane1 = Polygon([0,0,3],[3,0,3],[3,3,0],[0,3,0])
-        plane1.set_opacity(0.8)
-        plane1.set_fill(YELLOW)
-        plane1.set_color(YELLOW)
-        
-        
-        plane2 = Polygon([0,3,3],[3,3,3],[3,0,0],[0,0,0])
-        plane2.set_opacity(0.7)
-        plane2.set_fill(RED)
-        plane2.set_color(RED)
-
-        vgroup = VGroup(plane1,plane2,line,cube)
-        vgroup.shift([-1,-1,-1])
-        
-        
-        self.play(ShowCreation(cube))
-        self.play(ShowCreation(plane1))
-        self.play(ShowCreation(plane2))
-        self.play(ShowCreation(line))
-        self.wait(10)
-
-        
-
-  
\ No newline at end of file
-- 
cgit 


From 90b83827c8f46cd6705538c452a9872ebe2e7b2e Mon Sep 17 00:00:00 2001
From: simranchhattani
Date: Wed, 24 Jun 2020 14:27:13 +0530
Subject: Add files via upload

---
 .../Subspaces/gifs/Basis_of_a_Subspace.mp4           | Bin 0 -> 10735096 bytes
 .../Vector-Spaces/Subspaces/gifs/Linear_Subspace.gif | Bin 0 -> 4458192 bytes
 .../Subspaces/gifs/Subspace_Example.gif              | Bin 0 -> 716776 bytes
 3 files changed, 0 insertions(+), 0 deletions(-)
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Basis_of_a_Subspace.mp4
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Linear_Subspace.gif
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Subspace_Example.gif

(limited to 'FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces')

diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Basis_of_a_Subspace.mp4 b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Basis_of_a_Subspace.mp4
new file mode 100644
index 0000000..d384f80
Binary files /dev/null and b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Basis_of_a_Subspace.mp4 differ
diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Linear_Subspace.gif b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Linear_Subspace.gif
new file mode 100644
index 0000000..bec7e5f
Binary files /dev/null and b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Linear_Subspace.gif differ
diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Subspace_Example.gif b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Subspace_Example.gif
new file mode 100644
index 0000000..ffe71a8
Binary files /dev/null and b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Subspace_Example.gif differ
-- 
cgit 


From 2a87b8f5f12478e1894eafc8926383186a65f11c Mon Sep 17 00:00:00 2001
From: simranchhattani
Date: Wed, 24 Jun 2020 15:43:06 +0530
Subject: Add files via upload

---
 .../vector-spaces/Vector-Spaces/Subspaces/Basis.py | 174 +++++++++++++++++++++
 .../Vector-Spaces/Subspaces/Linear_Subspace.py     |  42 +++++
 2 files changed, 216 insertions(+)
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Basis.py
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Linear_Subspace.py

(limited to 'FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces')

diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Basis.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Basis.py
new file mode 100644
index 0000000..6d2edc8
--- /dev/null
+++ b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Basis.py
@@ -0,0 +1,174 @@
+from manimlib.imports import *
+
+
+VECTORS = [[1, 2],
+           [-4, 2],
+           [-3, -3],
+           [3,-2],
+           [3,3],
+           [-2,1],
+           [-1,-3]]
+
+class Scene1(LinearTransformationScene):
+    
+    CONFIG = {
+        "include_background_plane": True,
+        "include_foreground_plane": False,
+        "show_coordinates": False,
+        "show_basis_vectors": True,
+        "basis_vector_stroke_width": 3,
+        
+    }
+    def construct(self):
+        self.setup()
+        ihat, jhat = self.get_basis_vectors()
+        labels = self.get_basis_vector_labels()
+        self.add(ihat, jhat)
+        self.add(*labels)
+        
+        self.show_vector_as_basis_sum()
+        self.wait(2)
+
+    def show_vector_as_basis_sum(self):
+        text1 = TextMobject(r"Vector Space $\mathbb{R}^2$}").scale(0.8).shift(3*UP)
+        text1.add_background_rectangle()
+        self.play(ShowCreation(text1))
+        text2 = TextMobject(r"$\mathbb{R}^2$",color=BLUE_E).scale(0.8).shift(6.5*LEFT+3.5*UP)
+        text3 = TextMobject(r"\text{Basis Vectors:}",r"\text{$\hat{i}$}",r"\text{,}",r"\text{$\hat{j}$}").scale(0.7).shift(2*UP+2.5*RIGHT)
+        text3[1].set_color(GREEN_C)
+        text3[3].set_color(RED_C)
+
+        self.wait(2)
+        self.play(Transform(text1,text2))
+        self.wait(1)
+        self.play(ShowCreation(text3))
+        self.wait(1.7)
+        self.play(FadeOut(text3))
+
+        for i in range(len(VECTORS)):
+            v = self.add_vector(VECTORS[i], stroke_width = 3,color=YELLOW_D)
+
+            linei = Line(start = ORIGIN, end = VECTORS[i][0]*RIGHT)
+            linei.set_color(GREEN_C)
+            linej = Line(start = linei.get_end(),
+                         end = linei.get_end() + VECTORS[i][1]*UP)
+            linej.set_color(RED_C)
+            self.play(ShowCreation(linei))
+            self.play(ShowCreation(linej))
+            vlabel = self.get_vector_label(v, str(VECTORS[i][0]) +
+                                           r"\imath" + "+" +
+                                           str(VECTORS[i][1]) +
+                                           r"\jmath", at_tip = True)
+            self.play(ShowCreation(vlabel))
+            
+            self.play(FadeOut(linei),FadeOut(linej))
+            self.wait(1)
+            dot = Dot(v.get_end(), fill_color = v.get_stroke_color())
+            self.play(ShowCreation(dot),FadeOut(v),FadeOut(vlabel))
+            self.wait(0.3)
+
+class Scene2(LinearTransformationScene):
+    CONFIG = {
+        "num_vectors" : 16,
+        "start_color" : GREY,
+        "end_color" : YELLOW_D,
+        "include_background_plane": True,
+        "include_foreground_plane": False,
+    }
+
+    def get_vectors(self):
+        return [
+            Vector([x, y], stroke_width = 3.5)
+            for x in np.arange(-int(FRAME_X_RADIUS), int(FRAME_X_RADIUS)+0.5, 0.5)
+            for y in np.arange(-int(FRAME_Y_RADIUS), int(FRAME_Y_RADIUS)+0.5, 0.5)
+        ]
+
+    def lock_in_faded_grid(self, dimness=0.7, axes_dimness=0.5):
+        plane = self.add_plane()
+        axes = plane.get_axes()
+        plane.fade(dimness)
+        axes.set_color(WHITE)
+        axes.fade(axes_dimness)
+        self.add(axes)
+
+    def construct(self):
+        self.lock_in_faded_grid()
+
+        vectors = self.get_vectors()
+        colors = Color(self.start_color).range_to(
+            self.end_color, len(vectors)
+        )
+        for vect, color in zip(vectors, colors):
+            vect.set_color(color)
+
+        vector_group = VGroup(*vectors)
+        self.play(
+            ShowCreation(
+                vector_group,
+                run_time = 3
+            )
+        )
+
+        self.wait(1)
+
+        vectors.sort(key=lambda v: v.get_length())
+        def v_to_dot(vector):
+            return Dot(vector.get_end(), fill_color = vector.get_stroke_color())
+        self.wait()
+        rate_functions = [
+            squish_rate_func(smooth, float(x)/(len(vectors)+2), 1)
+            for x in range(len(vectors))
+        ]
+        self.play(*[
+            Transform(v, v_to_dot(v), rate_func = rf, run_time = 3)
+            for v, rf in zip(vectors, rate_functions)
+        ])
+        self.wait(2)
+        self.play_final_animation(vectors, rate_functions)
+        self.wait(2)
+
+        text1 = TextMobject(" Basis is the minimum information required to ").shift(3.1*UP).scale(0.8)
+        text2 = TextMobject("generate the whole space.").scale(0.8).shift(2.6*UP)
+        
+        text1.add_background_rectangle()
+        text2.add_background_rectangle()
+        
+        
+
+        self.play(ShowCreation(text1),ShowCreation(text2))
+        
+        self.play(ShowCreation(self.get_basis_vectors()))
+        self.wait(3)
+
+    def play_final_animation(self, vectors, rate_functions):
+
+        h_line = Line(
+            FRAME_X_RADIUS*RIGHT, FRAME_X_RADIUS*LEFT,
+            stroke_width = 0.5,
+            color = BLUE_E
+        )
+        v_line = Line(
+            FRAME_Y_RADIUS*UP, FRAME_Y_RADIUS*DOWN,
+            stroke_width = 0.5,
+            color = BLUE_E
+        )
+        line_pairs = [
+            VGroup(h_line.copy().shift(y), v_line.copy().shift(x))
+            for v in vectors
+            for x, y, z in [v.get_center()]
+        ]
+        plane = NumberPlane()
+        
+        self.play(
+            ShowCreation(plane),
+            *[
+                Transform(v, p, rate_func = rf)
+                for v, p, rf in zip(vectors, line_pairs, rate_functions)
+            ]
+        )
+        self.remove(*vectors)
+
+        
+        
+
+    
\ No newline at end of file
diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Linear_Subspace.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Linear_Subspace.py
new file mode 100644
index 0000000..9062b30
--- /dev/null
+++ b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Linear_Subspace.py
@@ -0,0 +1,42 @@
+from manimlib.imports import *
+class Subspace(ThreeDScene):
+
+
+    def construct(self):
+        axes = ThreeDAxes()
+        self.set_camera_orientation(phi = 80*DEGREES,theta =110*DEGREES)
+        self.begin_ambient_camera_rotation(rate=0.09)
+        cube = Cube(stroke_width=5,color=WHITE).shift([1.5,1.5,1.5]).scale(1.5)
+        cube.set_fill(TEAL)
+        
+        cube.set_opacity(0.4) 
+        line = Line(color=MAROON,set_opacity=100).shift([1.5,1.5,1.5]).scale(1.5)
+        plane1 = Polygon([0,0,3],[3,0,3],[3,3,0],[0,3,0])
+        plane1.set_opacity(0.8)
+        plane1.set_fill(YELLOW)
+        plane1.set_color(YELLOW)
+        
+        
+        plane2 = Polygon([0,3,3],[3,3,3],[3,0,0],[0,0,0])
+        plane2.set_opacity(0.7)
+        plane2.set_fill(RED)
+        plane2.set_color(RED)
+
+        vgroup = VGroup(plane1,plane2,line,cube)
+        vgroup.shift([-2,-2,-2])
+
+        text = TextMobject(r"\text{The}",r"\text{line}",r"\text{representing the intersection of the two planes is a Subspace.}",opacity = 0.6).scale(0.7).shift(3*UP)
+        text[1].set_color(MAROON)
+        self.add_fixed_in_frame_mobjects(text)
+        self.play(ShowCreation(text))
+        
+        
+        self.play(ShowCreation(cube))
+        self.play(ShowCreation(plane1))
+        self.play(ShowCreation(plane2))
+        self.play(ShowCreation(line))
+        self.wait(10)
+
+        
+
+  
\ No newline at end of file
-- 
cgit 


From 5a45e266c3484c6bb2ff46cf68ce67bbfe566ee5 Mon Sep 17 00:00:00 2001
From: simranchhattani
Date: Sat, 11 Jul 2020 23:32:40 +0530
Subject: Delete Linear_Subspace.py

---
 .../Vector-Spaces/Subspaces/Linear_Subspace.py     | 42 ----------------------
 1 file changed, 42 deletions(-)
 delete mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Linear_Subspace.py

(limited to 'FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces')

diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Linear_Subspace.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Linear_Subspace.py
deleted file mode 100644
index 9062b30..0000000
--- a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Linear_Subspace.py
+++ /dev/null
@@ -1,42 +0,0 @@
-from manimlib.imports import *
-class Subspace(ThreeDScene):
-
-
-    def construct(self):
-        axes = ThreeDAxes()
-        self.set_camera_orientation(phi = 80*DEGREES,theta =110*DEGREES)
-        self.begin_ambient_camera_rotation(rate=0.09)
-        cube = Cube(stroke_width=5,color=WHITE).shift([1.5,1.5,1.5]).scale(1.5)
-        cube.set_fill(TEAL)
-        
-        cube.set_opacity(0.4) 
-        line = Line(color=MAROON,set_opacity=100).shift([1.5,1.5,1.5]).scale(1.5)
-        plane1 = Polygon([0,0,3],[3,0,3],[3,3,0],[0,3,0])
-        plane1.set_opacity(0.8)
-        plane1.set_fill(YELLOW)
-        plane1.set_color(YELLOW)
-        
-        
-        plane2 = Polygon([0,3,3],[3,3,3],[3,0,0],[0,0,0])
-        plane2.set_opacity(0.7)
-        plane2.set_fill(RED)
-        plane2.set_color(RED)
-
-        vgroup = VGroup(plane1,plane2,line,cube)
-        vgroup.shift([-2,-2,-2])
-
-        text = TextMobject(r"\text{The}",r"\text{line}",r"\text{representing the intersection of the two planes is a Subspace.}",opacity = 0.6).scale(0.7).shift(3*UP)
-        text[1].set_color(MAROON)
-        self.add_fixed_in_frame_mobjects(text)
-        self.play(ShowCreation(text))
-        
-        
-        self.play(ShowCreation(cube))
-        self.play(ShowCreation(plane1))
-        self.play(ShowCreation(plane2))
-        self.play(ShowCreation(line))
-        self.wait(10)
-
-        
-
-  
\ No newline at end of file
-- 
cgit 


From 0ddf557bde12f37d6053403e5f4ff16ff863296e Mon Sep 17 00:00:00 2001
From: simranchhattani
Date: Sat, 11 Jul 2020 23:33:08 +0530
Subject: Delete Subspace_Example.py

---
 .../Vector-Spaces/Subspaces/Subspace_Example.py    | 86 ----------------------
 1 file changed, 86 deletions(-)
 delete mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Subspace_Example.py

(limited to 'FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces')

diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Subspace_Example.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Subspace_Example.py
deleted file mode 100644
index d87cd89..0000000
--- a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Subspace_Example.py
+++ /dev/null
@@ -1,86 +0,0 @@
-from manimlib.imports import *
-class Subspace_Example(Scene):
-    def construct(self):
-        sq = Square(side = 2, color=BLACK).shift(2*LEFT)
-        sq.set_fill(color=RED,opacity=350)
-        line1=Line(color=BLACK).shift(2*LEFT)
-        line1.rotate(np.pi/2)
-        line2=Line(color=BLACK).shift(2.5*LEFT+0.5*UP)
-        line2.scale(0.5)
-        line3=Line(color=BLACK).shift(+1.5*LEFT)
-        line3.scale(0.5)
-        a1=TextMobject(r"$a_1$",color=BLACK).scale(0.5).shift(3.4*LEFT+0.7*UP)
-        a2=TextMobject(r"$a_2$",color=BLACK).scale(0.5).shift(3.4*LEFT+0.3*DOWN)
-        a3=TextMobject(r"$a_3$",color=BLACK).scale(0.5).shift(0.7*LEFT+0.5*DOWN)
-        a4=TextMobject(r"$a_4$",color=BLACK).scale(0.5).shift(0.7*LEFT+0.5*UP)
-        big_rect1 = Rectangle().scale(3.3).shift(0.3*DOWN)
-        big_rect1.set_fill(color=GOLD,opacity=350)
-
-
-        big_rect2=Rectangle().scale(2.7).shift(0.5*DOWN)
-        big_rect2.set_fill(color=GREY,opacity=350)
-        vec_space=TextMobject("$Vector Space$",color=BLACK).scale(0.73).shift(4.65*RIGHT+2.6*UP)
-        sub=TextMobject(r"$Subspace$",color=BLACK).scale(0.73).shift(3.8*RIGHT+1.7*UP)
-        self.play(ShowCreation(big_rect1),ShowCreation(vec_space))
-        self.play(ShowCreation(big_rect2),ShowCreation(sub))
-        self.play(ShowCreation(sq),ShowCreation(line1),ShowCreation(line2),ShowCreation(line3),ShowCreation(a1),ShowCreation(a2),ShowCreation(a3),ShowCreation(a4))
-        rec = Rectangle(color=BLACK).scale(0.5).shift(1*RIGHT)
-        rec.rotate(np.pi/2)
-        rec.set_fill(color=BLUE,opacity=350)
-        line4=Line(color=BLACK).shift(1*RIGHT).rotate(np.pi/2)
-        line5=Line(color=BLACK).scale(0.25).shift(0.75*RIGHT)
-        line6=Line(color=BLACK).scale(0.25).shift(0.5*DOWN+1.25*RIGHT)
-        b1=TextMobject(r"$b_1$",color=BLACK).scale(0.5).shift(0.3*RIGHT+0.5*UP)
-        b2=TextMobject(r"$b_2$",color=BLACK).scale(0.5).shift(0.3*RIGHT+0.5*DOWN)
-        b3=TextMobject(r"$b_3$",color=BLACK).scale(0.5).shift(1.67*RIGHT+0.8*DOWN)
-        b4=TextMobject(r"$b_4$",color=BLACK).scale(0.5).shift(1.67*RIGHT+0.5*UP)
-        self.play(ShowCreation(rec),ShowCreation(line4),ShowCreation(line5),ShowCreation(line6),ShowCreation(b1),ShowCreation(b2),ShowCreation(b3),ShowCreation(b4))
-        self.wait(1)
-        text1=TextMobject(r"$a_1 + a_2 = a_3 + a_4$",color=BLACK).scale(0.5).shift(2*LEFT+1.5*DOWN)
-        text2=TextMobject(r"$b_1 + b_2 = b_3 + b_4$",color=BLACK).scale(0.5).shift(1.5*RIGHT+1.5*DOWN)
-        self.play(ShowCreation(text1),ShowCreation(text2))
-        self.wait(3)
-        self.play(FadeOut(text1),FadeOut(text2))
-        rec.shift(3*LEFT+2.01*DOWN)
-        line4.shift(3*LEFT+2*DOWN)
-        line5.shift(3*LEFT+2*DOWN)
-        line6.shift(3*LEFT+2*DOWN)
-        b1.shift(3.1*LEFT+2.1*DOWN)
-        b2.shift(3.1*LEFT+2.1*DOWN)
-        b3.shift(2.9*LEFT+2*DOWN)
-        b4.shift(2.9*LEFT+2.3*DOWN)
-        self.play(ShowCreation(rec),ShowCreation(line4),ShowCreation(line5),ShowCreation(line6),ShowCreation(b1),ShowCreation(b2),ShowCreation(b3),ShowCreation(b4))
-        self.wait(2)
-        
-        text3=TextMobject(r"$(a_1 + a_2) + (b_1 + b_2) = (a_3 + a_4) + (b_3 + b_4)$",color=BLACK).scale(0.5).shift(2.5*RIGHT+0.5*DOWN)
-        text3=TextMobject(r"$(a_1 + a_2) + (b_1 + b_2) = (a_3 + a_4) + (b_3 + b_4)$",color=BLACK).scale(0.5).shift(2.5*RIGHT+0.5*DOWN)
-        text4=TextMobject("Vector Addition",color=BLACK).scale(0.8).shift(2.5*RIGHT+0.5*UP)
-        self.play(ShowCreation(text3),ShowCreation(text4))
-        self.wait(3)
-        rec.set_fill(color=GREY,opacity=350)
-        self.play(FadeOut(text3),FadeOut(text4),FadeOut(line4),FadeOut(line5),FadeOut(line6),FadeOut(rec),FadeOut(b4),FadeOut(b3),FadeOut(b2),FadeOut(b1))
-        sq1=Square(color=BLACK).scale(0.5).shift(1.5*LEFT+1.5*UP)
-        sq1.set_fill(color=RED,opacity=350)
-        sq2=Square(color=BLACK).scale(0.5).shift(1.5*LEFT+1.5*DOWN)
-        sq2.set_fill(color=RED,opacity=350)
-        rec1=Rectangle(height=0.5,width=1,color=BLACK).shift(2.5*LEFT+1.2*UP)
-        rec1.set_fill(color=RED,opacity=350)
-        rec2=Rectangle(height=1.5,width=1,color=BLACK)
-        rec2.set_fill(color=RED,opacity=350).shift(2.5*LEFT+1.5*DOWN)
-        self.play(ShowCreation(sq1),ShowCreation(sq2),ShowCreation(rec1),ShowCreation(rec2))
-        a=TextMobject(r"$a_1$",color=BLACK).scale(0.5).shift(3.4*LEFT+1.2*UP)
-        b=TextMobject(r"$a_2$",color=BLACK).scale(0.5).shift(3.4*LEFT+1.4*DOWN)
-        c=TextMobject(r"$a_3$",color=BLACK).scale(0.5).shift(0.7*LEFT+1.4*DOWN)
-        d=TextMobject(r"$a_4$",color=BLACK).scale(0.5).shift(0.7*LEFT+1.4*UP)
-        self.play(ShowCreation(a),ShowCreation(b),ShowCreation(c),ShowCreation(d))
-        self.wait(2.3)
-        text4=TextMobject("Scalar Multiplication",color=BLACK).scale(0.8).shift(2.5*RIGHT+0.5*UP)
-        text5=TextMobject(r"$\implies 2(a_1 + a_2) = 2(a_3 + a_4)$",color=BLACK).scale(0.5).shift(2*RIGHT+0.5*DOWN)
-        text6=TextMobject(r"$(a_1 + a_1) + (a_2 + a_2) = (a_3 + a_3) + (a_4 +a_4)$",color=BLACK).scale(0.5).shift(2.5*RIGHT)
-        self.play(ShowCreation(text4),ShowCreation(text5),ShowCreation(text6))
-        self.wait(3)
-
-        
-
-
-
-- 
cgit 


From 9451877998a75f4044459365531d6b05f776c35a Mon Sep 17 00:00:00 2001
From: simranchhattani
Date: Sat, 11 Jul 2020 23:40:32 +0530
Subject: Add files via upload

---
 .../Subspaces/Intersection_of_Subspaces.py         | 52 ++++++++++++++++++++++
 .../Subspaces/Subspace_Non_Example.py              | 25 +++++++++++
 2 files changed, 77 insertions(+)
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Intersection_of_Subspaces.py
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Subspace_Non_Example.py

(limited to 'FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces')

diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Intersection_of_Subspaces.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Intersection_of_Subspaces.py
new file mode 100644
index 0000000..ec82daa
--- /dev/null
+++ b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Intersection_of_Subspaces.py
@@ -0,0 +1,52 @@
+from manimlib.imports import *
+class ThreeDSpace(ThreeDScene):
+
+
+    def construct(self):
+        axes = ThreeDAxes()
+        self.set_camera_orientation(phi = 80*DEGREES,theta =110*DEGREES)
+        self.begin_ambient_camera_rotation(rate=0.09)
+        
+       
+        
+        
+        cube = Cube(stroke_width=5,color=WHITE).shift([1.5,1.5,1.5]).scale(1.5)
+        cube.set_fill(TEAL)
+        
+        cube.set_opacity(0.4) 
+        
+        
+        plane1 = Polygon([0,0,3],[3,0,3],[3,3,0],[0,3,0])
+        plane1.set_opacity(0.65)
+        plane1.set_fill(PURPLE)
+        plane1.set_color(PURPLE)
+        
+        
+        plane2 = Polygon([0,3,3],[3,3,3],[3,0,0],[0,0,0])
+        plane2.set_opacity(0.7)
+        plane2.set_fill(RED)
+        plane2.set_color(RED)
+        line = Line(color=YELLOW,set_opacity=100).shift([1.5,1.5,1.5]).scale(1.5)
+
+        vgroup = VGroup(plane1,plane2,line,cube)
+        vgroup.shift([-1,-1,-1])
+        
+        dot = Dot(color=BLACK).shift([0.5,0.5,0.5]).scale(1)
+        text = TextMobject(r"\text{The}",r"\text{line}",r"\text{representing the intersection of the two planes is a Subspace.}",opacity = 0.6).scale(0.7).shift(3*UP)
+        text[1].set_color(YELLOW)
+        self.add_fixed_in_frame_mobjects(text)
+        self.play(ShowCreation(text))
+        
+        
+        self.play(ShowCreation(cube))
+        self.play(ShowCreation(plane1))
+        self.play(ShowCreation(plane2))
+
+        self.play(ShowCreation(line),ShowCreation(dot))
+        
+
+        self.wait(15)
+
+        
+
+  
\ No newline at end of file
diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Subspace_Non_Example.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Subspace_Non_Example.py
new file mode 100644
index 0000000..115a722
--- /dev/null
+++ b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Subspace_Non_Example.py
@@ -0,0 +1,25 @@
+from manimlib.imports import *
+class ThreeDSpace(ThreeDScene):
+
+
+    def construct(self):
+        axes = ThreeDAxes()
+        self.add(axes)
+        self.set_camera_orientation(phi = 80*DEGREES,theta =110*DEGREES)
+        self.begin_ambient_camera_rotation(rate=0.09)
+        plane1 = Polygon([-1.5,1.5,-1.5],[1.5,1.5,-1.5],[1.5,-1.5,1.5],[-1.5,-1.5,1.5])
+        plane1.set_opacity(0.65)
+        plane1.set_fill(GREEN)
+        plane1.set_color(GREEN)
+        
+        
+        plane2 = Polygon([-1.5,1.5,1.5],[1.5,1.5,1.5],[1.5,-1.5,-1.5],[-1.5,-1.5,-1.5])
+        plane2.set_opacity(0.7)
+        plane2.set_fill(MAROON_A)
+        plane2.set_color(MAROON_A)
+        line = Line(color=YELLOW,set_opacity=100,start=[1.5,1.2,1.2],end=[-1.5,1.2,1.2])
+        
+        
+        self.play(ShowCreation(plane1),ShowCreation(plane2),ShowCreation(line))
+        self.wait(10)
+
-- 
cgit 


From f424f33f1885a9e8a5d909e454a90287f0490697 Mon Sep 17 00:00:00 2001
From: simranchhattani
Date: Sat, 11 Jul 2020 23:41:24 +0530
Subject: Delete Subspace_Example.mp4

---
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(limited to 'FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces')

diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Subspace_Example.mp4 b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Subspace_Example.mp4
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From fcd089b5665ab38cb60a6d4ffc3970985a01e6bf Mon Sep 17 00:00:00 2001
From: simranchhattani
Date: Sat, 11 Jul 2020 23:41:40 +0530
Subject: Delete Linear_Subspace.gif

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diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Linear_Subspace.gif b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Linear_Subspace.gif
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From 0ceeedf13e05696108640c764bd9d33608fce3c0 Mon Sep 17 00:00:00 2001
From: simranchhattani
Date: Sat, 11 Jul 2020 23:41:55 +0530
Subject: Delete Subspace_Example.gif

---
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(limited to 'FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces')

diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Subspace_Example.gif b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Subspace_Example.gif
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From ca44f005584b966faaadda1a46f7d4cd7d7180cd Mon Sep 17 00:00:00 2001
From: simranchhattani
Date: Sat, 11 Jul 2020 23:44:53 +0530
Subject: Add files via upload

---
 .../Subspaces/gifs/Intersection_of_Subspaces.mp4      | Bin 0 -> 1112086 bytes
 .../Subspaces/gifs/Subspace_Non_Example.mp4           | Bin 0 -> 818876 bytes
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 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Subspace_Non_Example.mp4

(limited to 'FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces')

diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Intersection_of_Subspaces.mp4 b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Intersection_of_Subspaces.mp4
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diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Subspace_Non_Example.mp4 b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Subspace_Non_Example.mp4
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