Archit Sangal

2 files changed, 36 insertions, 8 deletions

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 97dbcde..cdcab07 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
@@ -6,12 +6,16 @@ class text(Scene):
         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 remains 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 = {
@@ -44,3 +48,26 @@ class NonLinearTransformation(Scene):
         text.add_background_rectangle()
         self.play(Write(text))
         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)/file2_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)/file2_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()