diff options
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() |