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authorArchit Sangal2020-07-07 18:47:41 +0530
committerArchit Sangal2020-07-07 18:47:41 +0530
commit9c93f9fd57d3d12355e5fb854603e421965a08c1 (patch)
tree7ff19b3213aac8192e6fc3565118e748cc97a12c /FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/null_space.py
parent0d8a9f7ed659c349d92bf3be92edd1eccba5f713 (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.py91
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))