Updated codes for video in RN theorem

3 files changed, 60 insertions, 53 deletions

diff --git a/FSF-2020/linear-algebra/linear-transformations/The-Rank-Nullity-Theorem/file.txt b/FSF-2020/linear-algebra/linear-transformations/The-Rank-Nullity-Theorem/file.txt
index 890fe45..5c48a13 100644
--- a/FSF-2020/linear-algebra/linear-transformations/The-Rank-Nullity-Theorem/file.txt
+++ b/FSF-2020/linear-algebra/linear-transformations/The-Rank-Nullity-Theorem/file.txt
@@ -1,2 +1,3 @@
-file 'RN_Theorem.mp4'
-file 'RN_Theorem1.mp4'
+file 'RN_Line.mp4'
+file 'RN_Point.mp4'
+file 'RN_SameDim.mp4'
diff --git a/FSF-2020/linear-algebra/linear-transformations/The-Rank-Nullity-Theorem/file1_RN_Theorem.py b/FSF-2020/linear-algebra/linear-transformations/The-Rank-Nullity-Theorem/file1_RN_Theorem.py
index 31330e2..e54276c 100755
--- a/FSF-2020/linear-algebra/linear-transformations/The-Rank-Nullity-Theorem/file1_RN_Theorem.py
+++ b/FSF-2020/linear-algebra/linear-transformations/The-Rank-Nullity-Theorem/file1_RN_Theorem.py
@@ -1,58 +1,97 @@
 from manimlib.imports import *

-class RN_Theorem(LinearTransformationScene):

+class RN_Line(LinearTransformationScene):

     def construct(self):

+

         self.setup()

         self.wait()

-        square = Square(fill_color=BLACK, fill_opacity=1,color = BLUE)

-        square.move_to(4*LEFT+4*DOWN)

-        square.scale(4)

-        self.play(ShowCreation(square))

+        

         predim = TextMobject("Dimension of this vector space is 2")

         predim.move_to(DOWN+4*LEFT)

         predim.scale(0.75)

+        predim.add_background_rectangle()

         self.play(Write(predim))

         self.wait()

         self.play(FadeOut(predim))

+

         afterlt = TextMobject("After Linear transformation")

         afterlt.move_to(DOWN+4*LEFT)

         afterlt.scale(0.75)

-        afterlt2 = TextMobject("Dimension of the vector space","remains to be 2")

-        afterlt2[0].move_to(2*DOWN+4*LEFT)

-        afterlt2[1].move_to(3*DOWN+4*LEFT)

+        afterlt.add_background_rectangle()

+        

+        afterlt2 = TextMobject("Dimension of the vector space","changes to 1")

+        afterlt2[0].move_to(1.5*DOWN+4*LEFT)

+        afterlt2[1].move_to(2*DOWN+4*LEFT)

         afterlt2.scale(0.75)

-        matrix = [[1,1],[0,1]]

+        afterlt2.add_background_rectangle()

+        matrix = [[1,1],[1,1]]

         self.apply_matrix(matrix)

         self.play(Write(afterlt))

         self.play(Write(afterlt2))

         self.wait()

-        nullity = TextMobject("Hence, nullity = 0")

+        nullity = TextMobject("Hence, nullity = 1")

         nullity.move_to(DOWN+4*LEFT)

         self.play(FadeOut(afterlt),FadeOut(afterlt2),Write(nullity))

         self.wait(1)

         self.play(FadeOut(nullity))

 

-        predim = TextMobject("Let us look at another example")

+class RN_Point(LinearTransformationScene):

+    def construct(self):

+        self.setup()

+        self.wait()

+        predim = TextMobject("Another One")

         predim.move_to(DOWN+4*LEFT)

         predim.scale(0.75)

-        matrix = [[1,-1],[0,1]]

-        self.apply_matrix(matrix)

+        predim.add_background_rectangle()

         self.play(Write(predim))

         self.wait()

         self.play(FadeOut(predim))

         afterlt = TextMobject("After Linear transformation")

         afterlt.move_to(DOWN+4*LEFT)

         afterlt.scale(0.75)

-        afterlt2 = TextMobject("Dimension of the vector space","changes to 1")

-        afterlt2[0].move_to(2*DOWN+4*LEFT)

-        afterlt2[1].move_to(3*DOWN+4*LEFT)

+        afterlt.add_background_rectangle()

+        afterlt2 = TextMobject("Dimension of the vector space","changes to 0")

+        afterlt2[0].move_to(1.5*DOWN+4*LEFT)

+        afterlt2[1].move_to(2*DOWN+4*LEFT)

         afterlt2.scale(0.75)

-        matrix = [[1,1],[1,1]]

+        afterlt2.add_background_rectangle()

+        matrix = [[0,0],[0,0]]

         self.apply_matrix(matrix)

         self.play(Write(afterlt))

         self.play(Write(afterlt2))

         self.wait()

-        nullity = TextMobject("Hence, nullity = 1")

+        nullity = TextMobject("Hence, nullity = 2")

         nullity.move_to(DOWN+4*LEFT)

         self.play(FadeOut(afterlt),FadeOut(afterlt2),Write(nullity))

         self.wait(1)

         self.play(FadeOut(nullity))

+

+class RN_SameDim(LinearTransformationScene):

+    def construct(self):

+        self.setup()

+        self.wait()

+        predim = TextMobject("Let us look at another example")

+        predim.add_background_rectangle()

+        predim.move_to(DOWN+4*LEFT)

+        predim.scale(0.75)

+        self.play(Write(predim))

+        self.wait()

+        self.play(FadeOut(predim))

+        afterlt = TextMobject("After Linear transformation")

+        afterlt.move_to(DOWN+4*LEFT)

+        afterlt.scale(0.75)

+        afterlt.add_background_rectangle()

+        afterlt2 = TextMobject("Dimension of the vector space","remains to be 2")

+        afterlt2[0].move_to(1.5*DOWN+4*LEFT)

+        afterlt2[1].move_to(2*DOWN+4*LEFT)

+        afterlt2.scale(0.75)

+        afterlt2.add_background_rectangle()

+        matrix = [[1,1],[0,1]]

+        self.apply_matrix(matrix)

+        self.play(Write(afterlt))

+        self.play(Write(afterlt2))

+        self.wait()

+        nullity = TextMobject("Hence, nullity = 0")

+        nullity.move_to(DOWN+4*LEFT)

+        self.play(FadeOut(afterlt),FadeOut(afterlt2),Write(nullity))

+        self.wait(1)

+        self.play(FadeOut(nullity))
\ No newline at end of file
diff --git a/FSF-2020/linear-algebra/linear-transformations/The-Rank-Nullity-Theorem/file2_RN_Theorem1.py b/FSF-2020/linear-algebra/linear-transformations/The-Rank-Nullity-Theorem/file2_RN_Theorem1.py
deleted file mode 100644
index 8f05ddd..0000000
--- a/FSF-2020/linear-algebra/linear-transformations/The-Rank-Nullity-Theorem/file2_RN_Theorem1.py
+++ /dev/null
@@ -1,33 +0,0 @@
-from manimlib.imports import *
-class RN_Theorem1(LinearTransformationScene):
-    def construct(self):
-        self.setup()
-        self.wait()
-        square = Square(fill_color=BLACK, fill_opacity=1,color = BLUE)
-        square.move_to(4*LEFT+4*DOWN)
-        square.scale(4)
-        self.play(ShowCreation(square))
-        predim = TextMobject("Another One")
-        predim.move_to(DOWN+4*LEFT)
-        predim.scale(0.75)
-        self.play(Write(predim))
-        self.wait()
-        self.play(FadeOut(predim))
-        afterlt = TextMobject("After Linear transformation")
-        afterlt.move_to(DOWN+4*LEFT)
-        afterlt.scale(0.75)
-        afterlt2 = TextMobject("Dimension of the vector space","changes to 0")
-        afterlt2[0].move_to(2*DOWN+4*LEFT)
-        afterlt2[1].move_to(3*DOWN+4*LEFT)
-        afterlt2.scale(0.75)
-        matrix = [[0,0],[0,0]]
-        self.apply_matrix(matrix)
-        self.play(Write(afterlt))
-        self.play(Write(afterlt2))
-        self.wait()
-        nullity = TextMobject("Hence, nullity = 2")
-        nullity.move_to(DOWN+4*LEFT)
-        #afterlt.scale(0.75)
-        self.play(FadeOut(afterlt),FadeOut(afterlt2),Write(nullity))
-        self.wait(1)
-        self.play(FadeOut(nullity))