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author | Archit Sangal | 2020-07-07 18:47:41 +0530 |
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committer | Archit Sangal | 2020-07-07 18:47:41 +0530 |
commit | 9c93f9fd57d3d12355e5fb854603e421965a08c1 (patch) | |
tree | 7ff19b3213aac8192e6fc3565118e748cc97a12c /FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/null_space.py | |
parent | 0d8a9f7ed659c349d92bf3be92edd1eccba5f713 (diff) | |
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semi-final 4FSS
Diffstat (limited to 'FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/null_space.py')
-rw-r--r-- | FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/null_space.py | 91 |
1 files changed, 0 insertions, 91 deletions
diff --git a/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/null_space.py b/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/null_space.py deleted file mode 100644 index c686710..0000000 --- a/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/null_space.py +++ /dev/null @@ -1,91 +0,0 @@ -from manimlib.imports import * -class null_space(LinearTransformationScene): - def construct(self): - - self.setup() - self.wait() - - o = TextMobject(r"This is the original vector space $R^2$(before Linear Transformation)") - o.move_to(DOWN) - o.scale(0.75) - o.add_background_rectangle() - self.play(Write(o)) - self.wait() - self.play(FadeOut(o)) - - o1 = TextMobject("Consider a set of vectors which are linear") - o2 = TextMobject(r"span of a particular vector $\left(\begin{array}{c} 1 \\ 1 \end{array}\right)$") - o1.move_to(2*DOWN+3*RIGHT) - o2.move_to(2.75*DOWN+3*RIGHT) - o1.scale(0.7) - o2.scale(0.7) - o1.add_background_rectangle() - o2.add_background_rectangle() - self.play(Write(o1)) - self.play(Write(o2)) - - arrow = Arrow(start = ORIGIN, end = UP+RIGHT) - arrow1 = Arrow(start = ORIGIN, end = 2*(UP+RIGHT)) - arrow2 = Arrow(start = ORIGIN, end = 3*(UP+RIGHT)) - arrow3 = Arrow(start = ORIGIN, end = 4*(UP+RIGHT)) - arrow4 = Arrow(start = ORIGIN, end = DOWN+LEFT) - arrow5 = Arrow(start = ORIGIN, end = 2*(DOWN+LEFT)) - arrow6 = Arrow(start = ORIGIN, end = 3*(DOWN+LEFT)) - arrow7 = Arrow(start = ORIGIN, end = 4*(DOWN+LEFT)) - - arrow.scale(1.5) - arrow1.scale(1.2) - arrow2.scale(1.15) - arrow3.scale(1.1) - arrow4.scale(1.5) - arrow5.scale(1.2) - arrow6.scale(1.15) - arrow7.scale(1.1) - - self.play(ShowCreation(arrow), - ShowCreation(arrow1), - ShowCreation(arrow2), - ShowCreation(arrow3), - ShowCreation(arrow4), - ShowCreation(arrow5), - ShowCreation(arrow6), - ShowCreation(arrow7), - ) - - self.wait(2) - self.play(FadeOut(o1), FadeOut(o2)) - - self.add_transformable_mobject(arrow) - self.add_transformable_mobject(arrow1) - self.add_transformable_mobject(arrow2) - self.add_transformable_mobject(arrow3) - self.add_transformable_mobject(arrow4) - self.add_transformable_mobject(arrow5) - self.add_transformable_mobject(arrow6) - self.add_transformable_mobject(arrow7) - - o1 = TextMobject("Notice, entire set of vectors which belong to the vector") - o2 = TextMobject(r"subspace(Linear Span of $\left(\begin{array}{c} 1 \\ 1 \end{array}\right)$) transforms to zero") - o1.move_to(2*DOWN+2.5*RIGHT) - o2.move_to(2.75*DOWN+2.5*RIGHT) - o1.scale(0.7) - o2.scale(0.7) - o1.add_background_rectangle() - o2.add_background_rectangle() - self.play(Write(o1)) - self.play(Write(o2)) - self.wait() - - matrix = [[1,-1],[1,-1]] - self.apply_matrix(matrix) - self.wait() - - self.play(FadeOut(o1), FadeOut(o2)) - - o = TextMobject(r"Hence, the vector space formed by linear span of $\left(\begin{array}{c} 1 \\ 1 \end{array}\right)$ is the null space of $A$") - o.move_to(DOWN) - o.scale(0.75) - o.add_background_rectangle() - self.play(Write(o)) - self.wait(2) - self.play(FadeOut(o), FadeOut(arrow), FadeOut(arrow1), FadeOut(arrow2), FadeOut(arrow3), FadeOut(arrow4), FadeOut(arrow5), FadeOut(arrow6), FadeOut(arrow7)) |