18 files changed, 69 insertions, 13 deletions
diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/README.md b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/README.md
new file mode 100644
index 0000000..2a46424
--- /dev/null
+++ b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/README.md
@@ -0,0 +1,30 @@
+# Contributer: Archit Sangal
+My Github Account : <a href="https://github.com/architsangal">architsangal</a> (https://github.com/architsangal)
+<br/></br>
+
+## Sub-Topics Covered:
++ Linear Transformations (Linear Maps)
+
+#### Video 1: Visually understanding linear transformation(using grid)
+![GIF1](file12.gif)
+
+#### Video 2: Linear Transformation when form 1 is given
+![GIF2](file11.gif)
+
+#### Video 3: Matrix Representation Of Linear Transformation
+![GIF3](file9.gif)
+
+#### Video 4: Understand Linear Transformations visually
+![GIF4](file13.gif)
+
+#### Video 5: Uniform Scaling
+![GIF5](file14.gif)
+
+#### Fig.1 Horizontal Shear
+![GIF6](file6_Horizontal_Shear_gif.gif)
+
+#### Fig.2 Vertical Shear
+![GIF7](file7_Vertical_Shear_gif.gif)
+
+#### Video 6: Rotation by an angle of in anticlockwise direction
+![GIF8](file10.gif)
+\ No newline at end of file
diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file.txt b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file.txt
deleted file mode 100644
index cae98ce..0000000
--- a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file.txt
+++ /dev/null
@@ -1,3 +0,0 @@
-file 'text.mp4'
-file 'LinearTransformation.mp4'
-file 'NonLinearTransformation.mp4'
diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file10.gif b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file10.gif
new file mode 100644
index 0000000..d996130
--- /dev/null
+++ b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file10.gif
diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file11.gif b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file11.gif
new file mode 100644
index 0000000..d8c64b7
--- /dev/null
+++ b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file11.gif
diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file12.gif b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file12.gif
new file mode 100644
index 0000000..92bdff6
--- /dev/null
+++ b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file12.gif
diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file13.gif b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file13.gif
new file mode 100644
index 0000000..ba6c156
--- /dev/null
+++ b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file13.gif
diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file14.gif b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file14.gif
new file mode 100644
index 0000000..fd9bc7b
--- /dev/null
+++ b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file14.gif
diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file1_transformations.py b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file1_transformations.py
index 677f890..0182bd9 100644
--- a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file1_transformations.py
+++ b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file1_transformations.py
@@ -2,16 +2,20 @@ from manimlib.imports import *
 
 class text(Scene):
     def construct(self):
-        text1 = TextMobject("For a grid, undergoing a linear transformation, all it's straight lines")
+        text1 = TextMobject("For a grid, undergoing a linear transformation, all its straight lines")
         text1.scale(0.9)
         text2 = TextMobject("must either remain straight lines or sends to a point in the grid formed")
         text2.scale(0.9)
+        text3 = TextMobject("Origin must remain where it was before transformation.")
+        text3.scale(0.9)
         text1.move_to(ORIGIN+UP)
         text2.move_to(ORIGIN)
+        text3.move_to(ORIGIN+DOWN)
         self.play(Write(text1))
         self.play(Write(text2))
+        self.play(Write(text3))
         self.wait()
-        self.play(FadeOut(text1),FadeOut(text2))
+        self.play(FadeOut(text1),FadeOut(text2),FadeOut(text3))
 
 class LinearTransformation(LinearTransformationScene):
     CONFIG = {
@@ -34,6 +38,7 @@ class NonLinearTransformation(Scene):
     def construct(self):
         grid = NumberPlane()
         self.play(ShowCreation(grid),run_time =2)
+        # I have taken reference from purusharth's code
         NonLinearTrans = lambda coordinates : coordinates + np.array([np.sin(coordinates[1]),np.sin(coordinates[0]),0,])
         grid.prepare_for_nonlinear_transform()
         self.play(grid.apply_function,NonLinearTrans)
@@ -42,4 +47,27 @@ class NonLinearTransformation(Scene):
         text[1].move_to(1.5*DOWN+4*LEFT)
         text.add_background_rectangle()
         self.play(Write(text))
-        self.wait()
-\ No newline at end of file
+        self.wait()
+        
+class MoveOrigin(LinearTransformationScene):
+
+    CONFIG = {
+        "show_basis_vectors": False,
+    }
+    def construct(self):
+        self.wait()
+
+        dot = Dot(ORIGIN, color = YELLOW)
+        self.add_transformable_mobject(dot)
+        self.apply_nonlinear_transformation(self.func)
+        text = TextMobject("This is also not a linear transformation as the origin moves from its original position")
+        text.move_to(2*DOWN)
+        text.scale(0.5)
+        text.set_color(YELLOW)
+        text.add_background_rectangle()
+        self.play(Write(text))
+        self.wait()
+
+    def func(self, point):
+        matrix_transform = self.get_matrix_transformation([[1, -1], [1, 1]])
+        return matrix_transform(point) + UP+ RIGHT
diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file_before_matrix.py b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file2_before_matrix.py
index 96e456d..1f6badd 100755
--- a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file_before_matrix.py
+++ b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file2_before_matrix.py
@@ -69,7 +69,7 @@ class Linear(GraphScene):
 class withgrid(LinearTransformationScene):
     def construct(self):
 
-        heading = TextMobject(r"Now, Imagine this happening for all the vectors")
+        heading = TextMobject(r"Now, imagine this happening for all the points")
         heading.scale(0.5)
         heading.move_to(UP*2.5+LEFT*4)
         self.play(Write(heading))
@@ -141,6 +141,7 @@ class ThreeDExplanation(ThreeDScene):
         text = TextMobject(r"$T(x,y) = (x+y,x-y,x+2y)$")
         text.scale(0.75)
         text.move_to(UP*2.5+LEFT*4)
+        text.move_to(-UP*3+LEFT*4)
         self.add_fixed_in_frame_mobjects(text)
         self.play(Write(text))
         self.wait()
@@ -218,15 +219,15 @@ class ThreeDExplanation(ThreeDScene):
         self.wait(3)
         self.stop_ambient_camera_rotation()
 
-        ending = TextMobject(r"$T(\left[\begin{array}{c}x \\ y\end{array}\right]) = \left[\begin{array}{c} x+y \\ x-y \\ x+2y \end{array}\right]$")
+        ending = TextMobject(r"$T(\left[\begin{array}{c}x \\ y\end{array}\right])$ = ",r"$\left[\begin{array}{c} x+y \\ x-y\\ x+2y \end{array}\right]$") #\begin{array}{c} x+y \\ x-y -- \\ x+2y -- \end{array}\right]$")
         ending.scale(0.75)
-        ending.move_to(-UP*2+LEFT*4)
-        self.play(Transform(text,ending))
+        ending.move_to(-UP*3+LEFT*4)
         self.add_fixed_in_frame_mobjects(ending)
+        self.play(FadeOut(text),Write(ending))
 
         self.play(FadeOut(plane))
-        self.wait(3)
+        self.wait(2)
 
-        self.begin_ambient_camera_rotation(rate=0.5)
-        self.wait(5)
+        self.begin_ambient_camera_rotation(rate=0.3)
+        self.wait(8)
         self.stop_ambient_camera_rotation()
diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/square.py b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file3_square.py
index e828de4..e828de4 100644
--- a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/square.py
+++ b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file3_square.py
diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file2_Understand_Linear_Transformations_visually.py b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file4_Understand_Linear_Transformations_visually.py
index 577032d..577032d 100644
--- a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file2_Understand_Linear_Transformations_visually.py
+++ b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file4_Understand_Linear_Transformations_visually.py
diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file3_Uniform_Scaling.py b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file5_Uniform_Scaling.py
index a7856a5..a7856a5 100644
--- a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file3_Uniform_Scaling.py
+++ b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file5_Uniform_Scaling.py
diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file4_Horizontal_Shear.py b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file6_Horizontal_Shear.py
index 91f098e..91f098e 100644
--- a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file4_Horizontal_Shear.py
+++ b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file6_Horizontal_Shear.py
diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file4_Horizontal_Shear_gif.gif b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file6_Horizontal_Shear_gif.gif
index 9bef1b6..9bef1b6 100644
--- a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file4_Horizontal_Shear_gif.gif
+++ b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file6_Horizontal_Shear_gif.gif
diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file5_Vertical_Shear.py b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file7_Vertical_Shear.py
index 718e4e0..718e4e0 100644
--- a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file5_Vertical_Shear.py
+++ b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file7_Vertical_Shear.py
diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file5_Vertical_Shear_gif.gif b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file7_Vertical_Shear_gif.gif
index 7ca323f..7ca323f 100644
--- a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file5_Vertical_Shear_gif.gif
+++ b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file7_Vertical_Shear_gif.gif
diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file6_linear_transformation.py b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file8_linear_transformation.py
index 01a0cef..01a0cef 100755
--- a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file6_linear_transformation.py
+++ b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file8_linear_transformation.py
diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file9.gif b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file9.gif
new file mode 100644
index 0000000..017e0c7
--- /dev/null
+++ b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file9.gif