from manimlib.imports import * class solution(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(3*DOWN) o.scale(0.75) o.add_background_rectangle() self.play(Write(o)) self.wait() self.play(FadeOut(o)) A = TextMobject(r"Consider the matrix the of this linear transformation $A$ = $\left[\begin{array}{c c} 1 & -1 \\ 1 & -1 \end{array}\right]$") A.move_to(3*DOWN) A.scale(0.75) A.add_background_rectangle() self.play(Write(A)) matrix = [[1,-1],[1,-1]] self.apply_matrix(matrix) self.wait() self.play(FadeOut(A)) o = TextMobject(r"This is the transformed vector space") o.move_to(3*DOWN) o.scale(0.75) o.add_background_rectangle() self.play(Write(o)) self.wait() self.play(FadeOut(o)) arrow2 = Arrow(start = ORIGIN, end = 2*DOWN+2*LEFT) arrow2.set_color(PURPLE) arrow2.scale(1.2) self.play(ShowCreation(arrow2)) self.wait() o1 = TextMobject("If the ","vector b"," lies in the transformed vector space") o2 = TextMobject("(the line) then the solution exist") o1.move_to(2.5*DOWN+2*RIGHT) o1[1].set_color(PURPLE) o2.move_to(3*DOWN+2.5*RIGHT) o1.scale(0.75) o2.scale(0.75) o1.add_background_rectangle() o2.add_background_rectangle() self.play(Write(o1)) self.play(Write(o2)) self.wait() self.play(FadeOut(o1), FadeOut(o2)) self.play(FadeOut(arrow2)) arrow1 = Arrow(start = ORIGIN, end = 2*UP+RIGHT) arrow1.set_color(ORANGE) arrow1.scale(1.3) self.play(ShowCreation(arrow1)) self.wait() o1 = TextMobject("If the ","vector b"," does lies in the transformed") o2 = TextMobject("vector space then the does not solution exist") o1.move_to(2.5*DOWN+2*RIGHT) o1[1].set_color(ORANGE) o2.move_to(3*DOWN+2.5*RIGHT) o1.scale(0.75) o2.scale(0.75) o1.add_background_rectangle() o2.add_background_rectangle() self.play(Write(o1)) self.play(Write(o2)) self.wait() self.play(FadeOut(o1), FadeOut(o2)) self.play(FadeOut(arrow1))