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from manimlib.imports import *
class Orthonormal(Scene):
def construct(self):
Centre = DOWN
arrow_1 = Arrow(start = Centre+ORIGIN,end = Centre+1.414*(UP+RIGHT))
arrow_2 = Arrow(start = Centre+ORIGIN,end = Centre+2*UP)
arrow_1.scale(1.35)
arrow_2.scale(1.35)
text = TextMobject("This is a set of linearly independent vectors")
text.scale(0.75)
text.move_to(3*UP+3*LEFT)
text.set_color(PURPLE_E)
arrow_1.set_color(PURPLE_E)
arrow_2.set_color(PURPLE_E)
self.play(Write(text))
self.play(ShowCreation(arrow_1), ShowCreation(arrow_2))
self.wait(2)
text1 = TextMobject("After we apply Gram-Schmidt Orthogonalization Process to set of linearly independent vectors")
text1.scale(0.6)
text1.move_to(3*UP+2*LEFT)
text1.set_color(GREEN)
arrow_a = Arrow(start = Centre+ORIGIN,end = Centre+0.707*(UP+RIGHT))
arrow_a.set_color(GREEN)
arrow_a.scale(2)
self.play(Transform(text,text1))
self.wait(2)
self.play(Transform(arrow_1,arrow_a))
arrow_b = Arrow(start = Centre+ORIGIN,end = Centre+0.707*(UP+LEFT))
arrow_b.set_color(GREEN)
arrow_b.scale(2)
self.play(Transform(arrow_2,arrow_b))
self.wait(2)
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