From c37336428531e016f5b1d9efb81a2d72348a21a7 Mon Sep 17 00:00:00 2001 From: Archit Sangal Date: Tue, 26 May 2020 12:51:09 +0530 Subject: Updating Folder Name --- ...1_Understand_Linear_Transformations_visually.py | 193 --------------------- .../file2_Uniform_Scaling.py | 91 ---------- .../file3_Horizontal_Shear.py | 53 ------ .../file3_Horizontal_Shear_gif.gif | Bin 1566999 -> 0 bytes .../file4_Vertical_Shear.py | 52 ------ .../file4_Vertical_Shear_gif.gif | Bin 1347079 -> 0 bytes ...1_Understand_Linear_Transformations_visually.py | 193 +++++++++++++++++++++ .../file2_Uniform_Scaling.py | 91 ++++++++++ .../file3_Horizontal_Shear.py | 53 ++++++ .../file3_Horizontal_Shear_gif.gif | Bin 0 -> 1566999 bytes .../file4_Vertical_Shear.py | 52 ++++++ .../file4_Vertical_Shear_gif.gif | Bin 0 -> 1347079 bytes 12 files changed, 389 insertions(+), 389 deletions(-) delete mode 100644 FSF-2020/linear-algebra/linear-transformations/Linear Transformations (Linear Maps)/file1_Understand_Linear_Transformations_visually.py delete mode 100644 FSF-2020/linear-algebra/linear-transformations/Linear Transformations (Linear Maps)/file2_Uniform_Scaling.py delete mode 100644 FSF-2020/linear-algebra/linear-transformations/Linear Transformations (Linear Maps)/file3_Horizontal_Shear.py delete mode 100644 FSF-2020/linear-algebra/linear-transformations/Linear Transformations (Linear Maps)/file3_Horizontal_Shear_gif.gif delete mode 100644 FSF-2020/linear-algebra/linear-transformations/Linear Transformations (Linear Maps)/file4_Vertical_Shear.py delete mode 100644 FSF-2020/linear-algebra/linear-transformations/Linear Transformations (Linear Maps)/file4_Vertical_Shear_gif.gif create mode 100644 FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file1_Understand_Linear_Transformations_visually.py create mode 100644 FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file2_Uniform_Scaling.py create mode 100644 FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file3_Horizontal_Shear.py create mode 100644 FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file3_Horizontal_Shear_gif.gif create mode 100644 FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file4_Vertical_Shear.py create mode 100644 FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file4_Vertical_Shear_gif.gif (limited to 'FSF-2020/linear-algebra/linear-transformations') diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear Transformations (Linear Maps)/file1_Understand_Linear_Transformations_visually.py b/FSF-2020/linear-algebra/linear-transformations/Linear Transformations (Linear Maps)/file1_Understand_Linear_Transformations_visually.py deleted file mode 100644 index 577032d..0000000 --- a/FSF-2020/linear-algebra/linear-transformations/Linear Transformations (Linear Maps)/file1_Understand_Linear_Transformations_visually.py +++ /dev/null @@ -1,193 +0,0 @@ -from manimlib.imports import * - -class Rotation(GraphScene): - CONFIG = { - "x_min" : -5, - "x_max" : 5, - "y_min" : -5, - "y_max" : 5, - "graph_origin" : ORIGIN+3.5*LEFT, - "x_axis_width" : 7, - "y_axis_height" : 7 - #"x_labeled_nums" : list(range(-5,6)), - #"y_labeled_nums" : list(range(-5,6)), - } - - def construct(self): - XTD = self.x_axis_width/(self.x_max-self.x_min) - YTD = self.y_axis_height/(self.y_max-self.y_min) - - introText = TextMobject("Understanding Linear Transformations") - self.play(Write(introText)) - self.wait(1) - - introText1 = TextMobject("Visually ... ") - introText1.move_to(DOWN) - self.play(Write(introText1)) - self.wait(1) - self.play(FadeOut(introText), FadeOut(introText1)) - - Text1 = TextMobject("Let $\overrightarrow{v}$ be $2\hat{i}+3\hat{j}$") - Text2 = TextMobject("$\overrightarrow{v} = 2\hat{i}+3\hat{j}$") - - Text1.move_to(4*RIGHT+2*UP) - Text2.move_to(4*RIGHT+1*UP) - self.play(Write(Text1)) - self.wait() - self.play(Transform(Text1,Text2)) - - self.setup_axes(animate=True) - arrow_v = Arrow(stroke_width = 3, start = self.graph_origin + 0.15*LEFT + 0.25*DOWN, end = self.graph_origin+2*XTD*RIGHT+3*YTD*UP+ 0.15*RIGHT + 0.25*UP) - self.play(ShowCreation(arrow_v)) - - Text_i = TextMobject("$\hat{i}$") - Text_i.move_to(self.graph_origin+0.5*XTD*RIGHT+0.5*YTD*DOWN) - Text_i.scale(0.75) - Text_j = TextMobject("$\hat{j}$") - Text_j.move_to(self.graph_origin+0.5*XTD*LEFT+0.5*YTD*UP) - Text_j.scale(0.75) - - arrow_i = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*LEFT, end = self.graph_origin+1*XTD*RIGHT+ 0.25*RIGHT) - arrow_j = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*DOWN, end = self.graph_origin+1*YTD*UP+0.25*UP) - self.play(ShowCreation(arrow_i), ShowCreation(arrow_j), Write(Text_i), Write(Text_j)) - - Text_2i = TextMobject("$2\hat{i}$") - Text_2i.move_to(self.graph_origin+1*XTD*RIGHT+1*YTD*DOWN) - Text_3j = TextMobject("$3\hat{j}$") - Text_3j.move_to(self.graph_origin+1*XTD*LEFT+1.5*YTD*UP) - - arrow_2i = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*LEFT, end = self.graph_origin+2*XTD*RIGHT+ 0.25*RIGHT) - arrow_2i.set_color(YELLOW) - arrow_3j = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*DOWN, end = self.graph_origin+3*YTD*UP+0.25*UP) - arrow_3j.set_color(RED) - self.wait(0.5) - self.play(Transform(arrow_i,arrow_2i), Transform(arrow_j,arrow_3j), Transform(Text_i,Text_2i), Transform(Text_j,Text_3j)) - self.play(ApplyMethod(arrow_j.move_to,self.graph_origin+2*XTD*RIGHT+1.5*YTD*UP) , ApplyMethod(Text_j.move_to,self.graph_origin+2.5*XTD*RIGHT+1.5*YTD*UP+ 0.15*RIGHT + 0.25*UP)) - - new_Text_v = TextMobject("$\overrightarrow{v}$") - new_Text_v.move_to(self.graph_origin+0.5*XTD*RIGHT+1.5*YTD*UP) - self.play(Write(new_Text_v)) - - new_arrow_i = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*LEFT, end = self.graph_origin+1*XTD*RIGHT+ 0.25*RIGHT) - new_arrow_i.set_color(YELLOW) - new_arrow_j = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*DOWN, end = self.graph_origin+1*YTD*UP+0.25*UP) - new_arrow_j.set_color(RED) - - new_Text_i = TextMobject("$\hat{i}$") - new_Text_i.move_to(self.graph_origin+0.5*XTD*RIGHT+0.5*YTD*DOWN) - new_Text_i.scale(0.75) - new_Text_j = TextMobject("$\hat{j}$") - new_Text_j.move_to(self.graph_origin+0.5*XTD*LEFT+0.5*YTD*UP) - new_Text_j.scale(0.75) - - self.wait(1) - - self.play(FadeOut(Text_i), - FadeOut(Text_j), - FadeOut(arrow_i), - FadeOut(arrow_j), - ShowCreation(new_arrow_i), - ShowCreation(new_arrow_j), - Write(new_Text_i), - Write(new_Text_j)) - - self.play(ApplyMethod(Text1.move_to,4*RIGHT)) - Text3 = TextMobject("Let the be a linear transformation function") - Text3.scale(0.5) - Text4 = TextMobject("$T$ which rotates the vectors by angle of $90^{\circ}$") - Text4.scale(0.5) - Text3.move_to(4*RIGHT+3*UP) - Text4.move_to(4*RIGHT+2.5*UP) - self.play(Write(Text3), Write(Text4)) - self.wait(2) - - Text6 = TextMobject(r"$\begin{pmatrix} 1 \\ 0 \end{pmatrix}$") - Text6.scale(0.75) - Text6.set_color(YELLOW) - Text6.move_to(self.graph_origin+1*XTD*RIGHT+1*YTD*DOWN) - Text7 = TextMobject(r"$\begin{pmatrix} 0 \\ 1 \end{pmatrix}$") - Text7.scale(0.75) - Text7.set_color(RED) - Text7.move_to(self.graph_origin+1*XTD*LEFT+1*YTD*UP) - - self.play(Transform(new_Text_i,Text6)) - self.play(Transform(new_Text_j,Text7)) - - Text5 = TextMobject(r"$\overrightarrow{v} = 2 $", r"$\begin{pmatrix} 1 \\ 0 \end{pmatrix}$", r"+3", r"$\begin{pmatrix} 0 \\ 1 \end{pmatrix}$") - Text5[1].set_color(YELLOW) - Text5[3].set_color(RED) - Text5.move_to(4*RIGHT) - - self.play(Transform(Text1, Text5)) - self.wait() - - arrow_modified_i = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*UP, end = self.graph_origin-(1*YTD*UP+0.25*UP)) - arrow_modified_i.set_color(YELLOW) - arrow_modified_j = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*LEFT, end = self.graph_origin+1*XTD*RIGHT+ 0.25*RIGHT) - arrow_modified_j.set_color(RED) - - yellow_i = TextMobject(r"$\begin{pmatrix} 0 \\ -1 \end{pmatrix}$") - yellow_i.set_color(YELLOW).scale(0.75) - yellow_i.move_to(self.graph_origin + 1*XTD*DOWN + 1*YTD*LEFT) - - red_j = TextMobject(r"$\begin{pmatrix} 1 \\ 0 \end{pmatrix}$") - red_j.set_color(RED).scale(0.75) - red_j.move_to(self.graph_origin + 1*XTD*UP + 1*YTD*RIGHT) - - Text8 = TextMobject(r"$\overrightarrow{v}_{transformed} = 2 $", r"$\begin{pmatrix} 0 \\ -1 \end{pmatrix}$", r"+3", r"$\begin{pmatrix} 1 \\ 0 \end{pmatrix}$") - Text8[1].set_color(YELLOW) - Text8[3].set_color(RED) - Text8.move_to(4*RIGHT+1.5*DOWN) - Text8.scale(0.75) - - new_Text__v = TextMobject("$\overrightarrow{v}_{transformed}$") - new_Text__v.scale(0.75) - arrow_modified_v = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*LEFT + 0.15*UP, end = self.graph_origin+2*XTD*DOWN+3*YTD*RIGHT+ 0.15*DOWN + 0.25*RIGHT) - self.play(Transform(arrow_v, arrow_modified_v), - Transform(new_arrow_i, arrow_modified_i), - Transform(new_arrow_j, arrow_modified_j), - Transform(new_Text_i,yellow_i), - Transform(new_Text_j,red_j), - FadeOut(new_Text_v), - ApplyMethod(new_Text__v.move_to,self.graph_origin+3*XTD*RIGHT+0.5*YTD*DOWN), - Write(Text8)) - - self.play(FadeOut(Text1), FadeOut(Text3), FadeOut(Text4), ApplyMethod(Text8.move_to,4*RIGHT+3*UP)) - - Text9 = TextMobject(r"$\overrightarrow{v}_{transformed} = 2 $", r"$\hat{i}_{transformed}$", r"+3", r"$\hat{j}_{transformed}$") - Text9[1].set_color(YELLOW) - Text9[3].set_color(RED) - Text9.move_to(4*RIGHT+2*UP) - Text9.scale(0.5) - - self.play(Write(Text9)) - - v_transformed = TextMobject(r"$\overrightarrow{v}_{transformed} \equiv T(\overrightarrow{v})$") - v_transformed.scale(0.75).move_to(4*RIGHT+UP) - i_transformed = TextMobject(r"$\hat{i}_{transformed} \equiv T(\hat{i})$") - i_transformed.set_color(YELLOW).scale(0.75).move_to(4*RIGHT) - j_transformed = TextMobject(r"$\hat{v}_{transformed} \equiv T(\hat{j})$") - j_transformed.set_color(RED).scale(0.75).move_to(4*RIGHT+DOWN) - - self.play(Write(v_transformed), Write(i_transformed), Write(j_transformed)) - self.wait(3) - - Text10 = TextMobject(r"$T(\overrightarrow{v}) = $", r"$\begin{pmatrix} 3 \\ -2 \end{pmatrix}$") - Text10[1].set_color(BLUE_E) - Text10.move_to(4*RIGHT+1*UP) - Text10.scale(0.75) - - self.play(Write(Text10), ApplyMethod(v_transformed.move_to,4*RIGHT+2*UP), FadeOut(i_transformed), FadeOut(j_transformed), FadeOut(Text9)) - self.wait(1) - - self.play(FadeOut(self.axes), - FadeOut(arrow_v), - FadeOut(new_arrow_i), - FadeOut(new_arrow_j), - FadeOut(new_Text_i), - FadeOut(new_Text_i), - FadeOut(new_Text_j), - FadeOut(new_Text__v), - FadeOut(Text10), - FadeOut(v_transformed), - FadeOut(Text8)) diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear Transformations (Linear Maps)/file2_Uniform_Scaling.py b/FSF-2020/linear-algebra/linear-transformations/Linear Transformations (Linear Maps)/file2_Uniform_Scaling.py deleted file mode 100644 index a7856a5..0000000 --- a/FSF-2020/linear-algebra/linear-transformations/Linear Transformations (Linear Maps)/file2_Uniform_Scaling.py +++ /dev/null @@ -1,91 +0,0 @@ -from manimlib.imports import * - -class Scaling(GraphScene): - CONFIG = { - "x_min" : -5, - "x_max" : 5, - "y_min" : -5, - "y_max" : 5, - "graph_origin" : ORIGIN+3.5*LEFT, - "x_axis_width" : 7, - "y_axis_height" : 7 - #"x_labeled_nums" : list(range(-5,6)), - #"y_labeled_nums" : list(range(-5,6)), - } - - def construct(self): - XTD = self.x_axis_width/(self.x_max-self.x_min) - YTD = self.y_axis_height/(self.y_max-self.y_min) - - introText = TextMobject("Scaling") - self.play(Write(introText)) - self.wait(1) - self.play(FadeOut(introText)) - - introText = TextMobject("Uniform Scaling") - self.play(Write(introText)) - self.wait(1) - self.play(FadeOut(introText)) - - Text1 = TextMobject("Let $\overrightarrow{v}$ be $3\hat{i}+3\hat{j}$") - Text2 = TextMobject("$\overrightarrow{v} = 3\hat{i}+3\hat{j}$") - - Text1.move_to(4*RIGHT+2*UP) - Text2.move_to(4*RIGHT+1*UP) - self.play(Write(Text1)) - self.wait() - self.play(Transform(Text1,Text2)) - - self.setup_axes(animate=True) - arrow_v = Arrow(stroke_width = 4, start = self.graph_origin + 0.15*LEFT + 0.15*DOWN, end = self.graph_origin+3*XTD*RIGHT+3*YTD*UP+ 0.15*RIGHT + 0.15*UP) - vector_v = TextMobject(r"$\vec{v}$") - vector_v.move_to(self.graph_origin + 1*XTD*RIGHT + 2*YTD*UP ) - self.play(ShowCreation(arrow_v),Write(vector_v)) - scaling_factor = TextMobject(r"Scaling Factor = $\frac{4}{3}$") - scaling_factor.scale(0.75) - scaled_vector = TextMobject(r"$T(\vec{v}) = \frac{4}{3} \left[ \begin{array} {c} 3 \\ 3 \end{array} \right] = \left[ \begin{array} {c} 4 \\ 4 \end{array} \right]$") - scaled_vector.set_color(DARK_BLUE) - scaled_vector.scale(0.75) - scaling_factor.move_to(4*RIGHT) - scaled_vector.move_to(4*RIGHT+DOWN) - self.play(Write(scaling_factor)) - self.wait() - self.play(Write(scaled_vector)) - - transformed_arrow_v = Arrow(stroke_width = 2, start = self.graph_origin + 0.15*LEFT + 0.15*DOWN, end = self.graph_origin+4*XTD*RIGHT+4*YTD*UP+ 0.15*RIGHT + 0.15*UP) - transformed_arrow_v.set_color(DARK_BLUE) - transformed_vector_v = TextMobject(r"$T(\vec{v})$") - transformed_vector_v.move_to(self.graph_origin + 4.5*XTD*RIGHT + 4.5*YTD*UP ) - transformed_vector_v.set_color(DARK_BLUE) - self.play(ShowCreation(transformed_arrow_v), Write(transformed_vector_v)) - - self.wait() - - represent_text1 = TextMobject("Representation of scaling") - represent_text2 = TextMobject("of vectors in point form") - represent_text1.move_to(4*RIGHT+3*UP) - represent_text2.move_to(4*RIGHT+2*UP) - self.play(Write(represent_text1), Write(represent_text2)) - - dot_init = Dot(self.graph_origin+3*XTD*RIGHT+3*YTD*UP) - dot_trans = Dot(self.graph_origin+4*XTD*RIGHT+4*YTD*UP) - - self.play(ApplyMethod(vector_v.move_to,self.graph_origin+2.5*XTD*RIGHT+2.5*YTD*UP), - ApplyMethod(transformed_vector_v.move_to,self.graph_origin+4.5*XTD*RIGHT+4.5*YTD*UP), - ShowCreation(dot_init), - Transform(arrow_v,dot_init), - Transform(transformed_arrow_v,dot_trans)) - - self.wait(2) - - self.play(FadeOut(dot_init), - FadeOut(arrow_v), - FadeOut(transformed_arrow_v), - FadeOut(represent_text1), - FadeOut(represent_text2), - FadeOut(self.axes), - FadeOut(scaling_factor), - FadeOut(scaled_vector), - FadeOut(transformed_vector_v), - FadeOut(vector_v), - FadeOut(Text1)) \ No newline at end of file diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear Transformations (Linear Maps)/file3_Horizontal_Shear.py b/FSF-2020/linear-algebra/linear-transformations/Linear Transformations (Linear Maps)/file3_Horizontal_Shear.py deleted file mode 100644 index 91f098e..0000000 --- a/FSF-2020/linear-algebra/linear-transformations/Linear Transformations (Linear Maps)/file3_Horizontal_Shear.py +++ /dev/null @@ -1,53 +0,0 @@ -from manimlib.imports import * - -class Hori_Shear(GraphScene): - CONFIG = { - "x_min" : -5, - "x_max" : 5, - "y_min" : -5, - "y_max" : 5, - "graph_origin" : ORIGIN+3.5*LEFT, - "x_axis_width" : 7, - "y_axis_height" : 7 - #"x_labeled_nums" : list(range(-5,6)), - #"y_labeled_nums" : list(range(-5,6)), - } - - def construct(self): - XTD = self.x_axis_width/(self.x_max-self.x_min) - YTD = self.y_axis_height/(self.y_max-self.y_min) - - Text1 = TextMobject("Before"," Horizontal") - Text1[0].set_color(YELLOW) - Text2 = TextMobject("Shear Transformation") - - Text1.move_to(4*RIGHT+2*UP) - Text2.move_to(4*RIGHT+1*UP) - - self.setup_axes(animate=False) - arrow_i = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*LEFT, end = self.graph_origin+1*XTD*RIGHT+ 0.25*RIGHT) - arrow_j = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*DOWN, end = self.graph_origin+1*XTD*UP+0.25*UP) - arrow_i.set_color(YELLOW) - arrow_j.set_color(YELLOW) - - square = Polygon(self.graph_origin,self.graph_origin+2*XTD*RIGHT, self.graph_origin+2*XTD*RIGHT+2*YTD*UP, self.graph_origin+2*YTD*UP) - square.set_color(DARK_BLUE) - self.play(ShowCreation(square), Write(Text1), Write(Text2), ShowCreation(arrow_i), ShowCreation(arrow_j)) - self.wait(1) - - Text3 = TextMobject("After"," Horizontal") - Text3[0].set_color(RED) - Text4 = TextMobject("Shear Transformation") - - Text3.move_to(4*RIGHT+2*UP) - Text4.move_to(4*RIGHT+1*UP) - - trans_arrow_i = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*LEFT, end = self.graph_origin+1*XTD*RIGHT+ 0.25*RIGHT) - trans_arrow_j = Arrow(stroke_width = 3, start = self.graph_origin + 0.15*DOWN + 0.15*LEFT, end = self.graph_origin+1*XTD*UP+1*YTD*RIGHT+0.25*UP+0.25*RIGHT) - trans_arrow_i.set_color(RED) - trans_arrow_j.set_color(RED) - - rhombus = Polygon(self.graph_origin,self.graph_origin+2*XTD*RIGHT, self.graph_origin+4*XTD*RIGHT+2*YTD*UP, self.graph_origin+2*XTD*RIGHT+2*YTD*UP) - square.set_color(DARK_BLUE) - self.play(Transform(arrow_i,trans_arrow_i), Transform(arrow_j,trans_arrow_j), Transform(square,rhombus), Transform(Text1,Text3), Transform(Text2,Text4)) - self.wait(1) \ No newline at end of file diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear Transformations (Linear Maps)/file3_Horizontal_Shear_gif.gif b/FSF-2020/linear-algebra/linear-transformations/Linear Transformations (Linear Maps)/file3_Horizontal_Shear_gif.gif deleted file mode 100644 index 9bef1b6..0000000 Binary files a/FSF-2020/linear-algebra/linear-transformations/Linear Transformations (Linear Maps)/file3_Horizontal_Shear_gif.gif and /dev/null differ diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear Transformations (Linear Maps)/file4_Vertical_Shear.py b/FSF-2020/linear-algebra/linear-transformations/Linear Transformations (Linear Maps)/file4_Vertical_Shear.py deleted file mode 100644 index 718e4e0..0000000 --- a/FSF-2020/linear-algebra/linear-transformations/Linear Transformations (Linear Maps)/file4_Vertical_Shear.py +++ /dev/null @@ -1,52 +0,0 @@ -from manimlib.imports import * - -class Ver_Shear(GraphScene): - CONFIG = { - "x_min" : -5, - "x_max" : 5, - "y_min" : -5, - "y_max" : 5, - "graph_origin" : ORIGIN+3.5*LEFT, - "x_axis_width" : 7, - "y_axis_height" : 7 - #"x_labeled_nums" : list(range(-5,6)), - #"y_labeled_nums" : list(range(-5,6)), - } - - def construct(self): - XTD = self.x_axis_width/(self.x_max-self.x_min) - YTD = self.y_axis_height/(self.y_max-self.y_min) - - Text1 = TextMobject("Before"," Vertical") - Text1[0].set_color(YELLOW) - Text2 = TextMobject("Shear Transformation") - - Text1.move_to(4*RIGHT+2*UP) - Text2.move_to(4*RIGHT+1*UP) - - self.setup_axes(animate=False) - arrow_i = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*LEFT, end = self.graph_origin+1*XTD*RIGHT+ 0.25*RIGHT) - arrow_j = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*DOWN, end = self.graph_origin+1*XTD*UP+0.25*UP) - arrow_i.set_color(YELLOW) - arrow_j.set_color(YELLOW) - - square = Polygon(self.graph_origin,self.graph_origin+2*XTD*RIGHT, self.graph_origin+2*XTD*RIGHT+2*YTD*UP, self.graph_origin+2*YTD*UP) - square.set_color(DARK_BLUE) - self.play(ShowCreation(square), Write(Text1), Write(Text2), ShowCreation(arrow_i), ShowCreation(arrow_j)) - self.wait(1) - - Text3 = TextMobject("After"," Vertical") - Text3[0].set_color(RED) - Text4 = TextMobject("Shear Transformation") - - Text3.move_to(4*RIGHT+2*UP) - Text4.move_to(4*RIGHT+1*UP) - - trans_arrow_i = Arrow(stroke_width = 3, start = self.graph_origin + 0.15*DOWN + 0.15*LEFT, end = self.graph_origin+1*XTD*UP+1*YTD*RIGHT+0.25*UP+0.25*RIGHT) - trans_arrow_j = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*DOWN, end = self.graph_origin+1*XTD*UP+ 0.25*UP) - trans_arrow_i.set_color(RED) - trans_arrow_j.set_color(RED) - - rhombus = Polygon(self.graph_origin,self.graph_origin+2*XTD*UP, self.graph_origin+2*XTD*RIGHT+4*YTD*UP, self.graph_origin+2*XTD*RIGHT+2*YTD*UP) - self.play(Transform(arrow_i,trans_arrow_i), Transform(arrow_j,trans_arrow_j), FadeOut(square), ShowCreation(rhombus), Transform(Text1,Text3), Transform(Text2,Text4)) - self.wait(1) \ No newline at end of file diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear Transformations (Linear Maps)/file4_Vertical_Shear_gif.gif b/FSF-2020/linear-algebra/linear-transformations/Linear Transformations (Linear Maps)/file4_Vertical_Shear_gif.gif deleted file mode 100644 index 7ca323f..0000000 Binary files a/FSF-2020/linear-algebra/linear-transformations/Linear Transformations (Linear Maps)/file4_Vertical_Shear_gif.gif and /dev/null differ diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file1_Understand_Linear_Transformations_visually.py b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file1_Understand_Linear_Transformations_visually.py new file mode 100644 index 0000000..577032d --- /dev/null +++ b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file1_Understand_Linear_Transformations_visually.py @@ -0,0 +1,193 @@ +from manimlib.imports import * + +class Rotation(GraphScene): + CONFIG = { + "x_min" : -5, + "x_max" : 5, + "y_min" : -5, + "y_max" : 5, + "graph_origin" : ORIGIN+3.5*LEFT, + "x_axis_width" : 7, + "y_axis_height" : 7 + #"x_labeled_nums" : list(range(-5,6)), + #"y_labeled_nums" : list(range(-5,6)), + } + + def construct(self): + XTD = self.x_axis_width/(self.x_max-self.x_min) + YTD = self.y_axis_height/(self.y_max-self.y_min) + + introText = TextMobject("Understanding Linear Transformations") + self.play(Write(introText)) + self.wait(1) + + introText1 = TextMobject("Visually ... ") + introText1.move_to(DOWN) + self.play(Write(introText1)) + self.wait(1) + self.play(FadeOut(introText), FadeOut(introText1)) + + Text1 = TextMobject("Let $\overrightarrow{v}$ be $2\hat{i}+3\hat{j}$") + Text2 = TextMobject("$\overrightarrow{v} = 2\hat{i}+3\hat{j}$") + + Text1.move_to(4*RIGHT+2*UP) + Text2.move_to(4*RIGHT+1*UP) + self.play(Write(Text1)) + self.wait() + self.play(Transform(Text1,Text2)) + + self.setup_axes(animate=True) + arrow_v = Arrow(stroke_width = 3, start = self.graph_origin + 0.15*LEFT + 0.25*DOWN, end = self.graph_origin+2*XTD*RIGHT+3*YTD*UP+ 0.15*RIGHT + 0.25*UP) + self.play(ShowCreation(arrow_v)) + + Text_i = TextMobject("$\hat{i}$") + Text_i.move_to(self.graph_origin+0.5*XTD*RIGHT+0.5*YTD*DOWN) + Text_i.scale(0.75) + Text_j = TextMobject("$\hat{j}$") + Text_j.move_to(self.graph_origin+0.5*XTD*LEFT+0.5*YTD*UP) + Text_j.scale(0.75) + + arrow_i = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*LEFT, end = self.graph_origin+1*XTD*RIGHT+ 0.25*RIGHT) + arrow_j = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*DOWN, end = self.graph_origin+1*YTD*UP+0.25*UP) + self.play(ShowCreation(arrow_i), ShowCreation(arrow_j), Write(Text_i), Write(Text_j)) + + Text_2i = TextMobject("$2\hat{i}$") + Text_2i.move_to(self.graph_origin+1*XTD*RIGHT+1*YTD*DOWN) + Text_3j = TextMobject("$3\hat{j}$") + Text_3j.move_to(self.graph_origin+1*XTD*LEFT+1.5*YTD*UP) + + arrow_2i = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*LEFT, end = self.graph_origin+2*XTD*RIGHT+ 0.25*RIGHT) + arrow_2i.set_color(YELLOW) + arrow_3j = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*DOWN, end = self.graph_origin+3*YTD*UP+0.25*UP) + arrow_3j.set_color(RED) + self.wait(0.5) + self.play(Transform(arrow_i,arrow_2i), Transform(arrow_j,arrow_3j), Transform(Text_i,Text_2i), Transform(Text_j,Text_3j)) + self.play(ApplyMethod(arrow_j.move_to,self.graph_origin+2*XTD*RIGHT+1.5*YTD*UP) , ApplyMethod(Text_j.move_to,self.graph_origin+2.5*XTD*RIGHT+1.5*YTD*UP+ 0.15*RIGHT + 0.25*UP)) + + new_Text_v = TextMobject("$\overrightarrow{v}$") + new_Text_v.move_to(self.graph_origin+0.5*XTD*RIGHT+1.5*YTD*UP) + self.play(Write(new_Text_v)) + + new_arrow_i = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*LEFT, end = self.graph_origin+1*XTD*RIGHT+ 0.25*RIGHT) + new_arrow_i.set_color(YELLOW) + new_arrow_j = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*DOWN, end = self.graph_origin+1*YTD*UP+0.25*UP) + new_arrow_j.set_color(RED) + + new_Text_i = TextMobject("$\hat{i}$") + new_Text_i.move_to(self.graph_origin+0.5*XTD*RIGHT+0.5*YTD*DOWN) + new_Text_i.scale(0.75) + new_Text_j = TextMobject("$\hat{j}$") + new_Text_j.move_to(self.graph_origin+0.5*XTD*LEFT+0.5*YTD*UP) + new_Text_j.scale(0.75) + + self.wait(1) + + self.play(FadeOut(Text_i), + FadeOut(Text_j), + FadeOut(arrow_i), + FadeOut(arrow_j), + ShowCreation(new_arrow_i), + ShowCreation(new_arrow_j), + Write(new_Text_i), + Write(new_Text_j)) + + self.play(ApplyMethod(Text1.move_to,4*RIGHT)) + Text3 = TextMobject("Let the be a linear transformation function") + Text3.scale(0.5) + Text4 = TextMobject("$T$ which rotates the vectors by angle of $90^{\circ}$") + Text4.scale(0.5) + Text3.move_to(4*RIGHT+3*UP) + Text4.move_to(4*RIGHT+2.5*UP) + self.play(Write(Text3), Write(Text4)) + self.wait(2) + + Text6 = TextMobject(r"$\begin{pmatrix} 1 \\ 0 \end{pmatrix}$") + Text6.scale(0.75) + Text6.set_color(YELLOW) + Text6.move_to(self.graph_origin+1*XTD*RIGHT+1*YTD*DOWN) + Text7 = TextMobject(r"$\begin{pmatrix} 0 \\ 1 \end{pmatrix}$") + Text7.scale(0.75) + Text7.set_color(RED) + Text7.move_to(self.graph_origin+1*XTD*LEFT+1*YTD*UP) + + self.play(Transform(new_Text_i,Text6)) + self.play(Transform(new_Text_j,Text7)) + + Text5 = TextMobject(r"$\overrightarrow{v} = 2 $", r"$\begin{pmatrix} 1 \\ 0 \end{pmatrix}$", r"+3", r"$\begin{pmatrix} 0 \\ 1 \end{pmatrix}$") + Text5[1].set_color(YELLOW) + Text5[3].set_color(RED) + Text5.move_to(4*RIGHT) + + self.play(Transform(Text1, Text5)) + self.wait() + + arrow_modified_i = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*UP, end = self.graph_origin-(1*YTD*UP+0.25*UP)) + arrow_modified_i.set_color(YELLOW) + arrow_modified_j = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*LEFT, end = self.graph_origin+1*XTD*RIGHT+ 0.25*RIGHT) + arrow_modified_j.set_color(RED) + + yellow_i = TextMobject(r"$\begin{pmatrix} 0 \\ -1 \end{pmatrix}$") + yellow_i.set_color(YELLOW).scale(0.75) + yellow_i.move_to(self.graph_origin + 1*XTD*DOWN + 1*YTD*LEFT) + + red_j = TextMobject(r"$\begin{pmatrix} 1 \\ 0 \end{pmatrix}$") + red_j.set_color(RED).scale(0.75) + red_j.move_to(self.graph_origin + 1*XTD*UP + 1*YTD*RIGHT) + + Text8 = TextMobject(r"$\overrightarrow{v}_{transformed} = 2 $", r"$\begin{pmatrix} 0 \\ -1 \end{pmatrix}$", r"+3", r"$\begin{pmatrix} 1 \\ 0 \end{pmatrix}$") + Text8[1].set_color(YELLOW) + Text8[3].set_color(RED) + Text8.move_to(4*RIGHT+1.5*DOWN) + Text8.scale(0.75) + + new_Text__v = TextMobject("$\overrightarrow{v}_{transformed}$") + new_Text__v.scale(0.75) + arrow_modified_v = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*LEFT + 0.15*UP, end = self.graph_origin+2*XTD*DOWN+3*YTD*RIGHT+ 0.15*DOWN + 0.25*RIGHT) + self.play(Transform(arrow_v, arrow_modified_v), + Transform(new_arrow_i, arrow_modified_i), + Transform(new_arrow_j, arrow_modified_j), + Transform(new_Text_i,yellow_i), + Transform(new_Text_j,red_j), + FadeOut(new_Text_v), + ApplyMethod(new_Text__v.move_to,self.graph_origin+3*XTD*RIGHT+0.5*YTD*DOWN), + Write(Text8)) + + self.play(FadeOut(Text1), FadeOut(Text3), FadeOut(Text4), ApplyMethod(Text8.move_to,4*RIGHT+3*UP)) + + Text9 = TextMobject(r"$\overrightarrow{v}_{transformed} = 2 $", r"$\hat{i}_{transformed}$", r"+3", r"$\hat{j}_{transformed}$") + Text9[1].set_color(YELLOW) + Text9[3].set_color(RED) + Text9.move_to(4*RIGHT+2*UP) + Text9.scale(0.5) + + self.play(Write(Text9)) + + v_transformed = TextMobject(r"$\overrightarrow{v}_{transformed} \equiv T(\overrightarrow{v})$") + v_transformed.scale(0.75).move_to(4*RIGHT+UP) + i_transformed = TextMobject(r"$\hat{i}_{transformed} \equiv T(\hat{i})$") + i_transformed.set_color(YELLOW).scale(0.75).move_to(4*RIGHT) + j_transformed = TextMobject(r"$\hat{v}_{transformed} \equiv T(\hat{j})$") + j_transformed.set_color(RED).scale(0.75).move_to(4*RIGHT+DOWN) + + self.play(Write(v_transformed), Write(i_transformed), Write(j_transformed)) + self.wait(3) + + Text10 = TextMobject(r"$T(\overrightarrow{v}) = $", r"$\begin{pmatrix} 3 \\ -2 \end{pmatrix}$") + Text10[1].set_color(BLUE_E) + Text10.move_to(4*RIGHT+1*UP) + Text10.scale(0.75) + + self.play(Write(Text10), ApplyMethod(v_transformed.move_to,4*RIGHT+2*UP), FadeOut(i_transformed), FadeOut(j_transformed), FadeOut(Text9)) + self.wait(1) + + self.play(FadeOut(self.axes), + FadeOut(arrow_v), + FadeOut(new_arrow_i), + FadeOut(new_arrow_j), + FadeOut(new_Text_i), + FadeOut(new_Text_i), + FadeOut(new_Text_j), + FadeOut(new_Text__v), + FadeOut(Text10), + FadeOut(v_transformed), + FadeOut(Text8)) diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file2_Uniform_Scaling.py b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file2_Uniform_Scaling.py new file mode 100644 index 0000000..a7856a5 --- /dev/null +++ b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file2_Uniform_Scaling.py @@ -0,0 +1,91 @@ +from manimlib.imports import * + +class Scaling(GraphScene): + CONFIG = { + "x_min" : -5, + "x_max" : 5, + "y_min" : -5, + "y_max" : 5, + "graph_origin" : ORIGIN+3.5*LEFT, + "x_axis_width" : 7, + "y_axis_height" : 7 + #"x_labeled_nums" : list(range(-5,6)), + #"y_labeled_nums" : list(range(-5,6)), + } + + def construct(self): + XTD = self.x_axis_width/(self.x_max-self.x_min) + YTD = self.y_axis_height/(self.y_max-self.y_min) + + introText = TextMobject("Scaling") + self.play(Write(introText)) + self.wait(1) + self.play(FadeOut(introText)) + + introText = TextMobject("Uniform Scaling") + self.play(Write(introText)) + self.wait(1) + self.play(FadeOut(introText)) + + Text1 = TextMobject("Let $\overrightarrow{v}$ be $3\hat{i}+3\hat{j}$") + Text2 = TextMobject("$\overrightarrow{v} = 3\hat{i}+3\hat{j}$") + + Text1.move_to(4*RIGHT+2*UP) + Text2.move_to(4*RIGHT+1*UP) + self.play(Write(Text1)) + self.wait() + self.play(Transform(Text1,Text2)) + + self.setup_axes(animate=True) + arrow_v = Arrow(stroke_width = 4, start = self.graph_origin + 0.15*LEFT + 0.15*DOWN, end = self.graph_origin+3*XTD*RIGHT+3*YTD*UP+ 0.15*RIGHT + 0.15*UP) + vector_v = TextMobject(r"$\vec{v}$") + vector_v.move_to(self.graph_origin + 1*XTD*RIGHT + 2*YTD*UP ) + self.play(ShowCreation(arrow_v),Write(vector_v)) + scaling_factor = TextMobject(r"Scaling Factor = $\frac{4}{3}$") + scaling_factor.scale(0.75) + scaled_vector = TextMobject(r"$T(\vec{v}) = \frac{4}{3} \left[ \begin{array} {c} 3 \\ 3 \end{array} \right] = \left[ \begin{array} {c} 4 \\ 4 \end{array} \right]$") + scaled_vector.set_color(DARK_BLUE) + scaled_vector.scale(0.75) + scaling_factor.move_to(4*RIGHT) + scaled_vector.move_to(4*RIGHT+DOWN) + self.play(Write(scaling_factor)) + self.wait() + self.play(Write(scaled_vector)) + + transformed_arrow_v = Arrow(stroke_width = 2, start = self.graph_origin + 0.15*LEFT + 0.15*DOWN, end = self.graph_origin+4*XTD*RIGHT+4*YTD*UP+ 0.15*RIGHT + 0.15*UP) + transformed_arrow_v.set_color(DARK_BLUE) + transformed_vector_v = TextMobject(r"$T(\vec{v})$") + transformed_vector_v.move_to(self.graph_origin + 4.5*XTD*RIGHT + 4.5*YTD*UP ) + transformed_vector_v.set_color(DARK_BLUE) + self.play(ShowCreation(transformed_arrow_v), Write(transformed_vector_v)) + + self.wait() + + represent_text1 = TextMobject("Representation of scaling") + represent_text2 = TextMobject("of vectors in point form") + represent_text1.move_to(4*RIGHT+3*UP) + represent_text2.move_to(4*RIGHT+2*UP) + self.play(Write(represent_text1), Write(represent_text2)) + + dot_init = Dot(self.graph_origin+3*XTD*RIGHT+3*YTD*UP) + dot_trans = Dot(self.graph_origin+4*XTD*RIGHT+4*YTD*UP) + + self.play(ApplyMethod(vector_v.move_to,self.graph_origin+2.5*XTD*RIGHT+2.5*YTD*UP), + ApplyMethod(transformed_vector_v.move_to,self.graph_origin+4.5*XTD*RIGHT+4.5*YTD*UP), + ShowCreation(dot_init), + Transform(arrow_v,dot_init), + Transform(transformed_arrow_v,dot_trans)) + + self.wait(2) + + self.play(FadeOut(dot_init), + FadeOut(arrow_v), + FadeOut(transformed_arrow_v), + FadeOut(represent_text1), + FadeOut(represent_text2), + FadeOut(self.axes), + FadeOut(scaling_factor), + FadeOut(scaled_vector), + FadeOut(transformed_vector_v), + FadeOut(vector_v), + FadeOut(Text1)) \ No newline at end of file diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file3_Horizontal_Shear.py b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file3_Horizontal_Shear.py new file mode 100644 index 0000000..91f098e --- /dev/null +++ b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file3_Horizontal_Shear.py @@ -0,0 +1,53 @@ +from manimlib.imports import * + +class Hori_Shear(GraphScene): + CONFIG = { + "x_min" : -5, + "x_max" : 5, + "y_min" : -5, + "y_max" : 5, + "graph_origin" : ORIGIN+3.5*LEFT, + "x_axis_width" : 7, + "y_axis_height" : 7 + #"x_labeled_nums" : list(range(-5,6)), + #"y_labeled_nums" : list(range(-5,6)), + } + + def construct(self): + XTD = self.x_axis_width/(self.x_max-self.x_min) + YTD = self.y_axis_height/(self.y_max-self.y_min) + + Text1 = TextMobject("Before"," Horizontal") + Text1[0].set_color(YELLOW) + Text2 = TextMobject("Shear Transformation") + + Text1.move_to(4*RIGHT+2*UP) + Text2.move_to(4*RIGHT+1*UP) + + self.setup_axes(animate=False) + arrow_i = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*LEFT, end = self.graph_origin+1*XTD*RIGHT+ 0.25*RIGHT) + arrow_j = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*DOWN, end = self.graph_origin+1*XTD*UP+0.25*UP) + arrow_i.set_color(YELLOW) + arrow_j.set_color(YELLOW) + + square = Polygon(self.graph_origin,self.graph_origin+2*XTD*RIGHT, self.graph_origin+2*XTD*RIGHT+2*YTD*UP, self.graph_origin+2*YTD*UP) + square.set_color(DARK_BLUE) + self.play(ShowCreation(square), Write(Text1), Write(Text2), ShowCreation(arrow_i), ShowCreation(arrow_j)) + self.wait(1) + + Text3 = TextMobject("After"," Horizontal") + Text3[0].set_color(RED) + Text4 = TextMobject("Shear Transformation") + + Text3.move_to(4*RIGHT+2*UP) + Text4.move_to(4*RIGHT+1*UP) + + trans_arrow_i = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*LEFT, end = self.graph_origin+1*XTD*RIGHT+ 0.25*RIGHT) + trans_arrow_j = Arrow(stroke_width = 3, start = self.graph_origin + 0.15*DOWN + 0.15*LEFT, end = self.graph_origin+1*XTD*UP+1*YTD*RIGHT+0.25*UP+0.25*RIGHT) + trans_arrow_i.set_color(RED) + trans_arrow_j.set_color(RED) + + rhombus = Polygon(self.graph_origin,self.graph_origin+2*XTD*RIGHT, self.graph_origin+4*XTD*RIGHT+2*YTD*UP, self.graph_origin+2*XTD*RIGHT+2*YTD*UP) + square.set_color(DARK_BLUE) + self.play(Transform(arrow_i,trans_arrow_i), Transform(arrow_j,trans_arrow_j), Transform(square,rhombus), Transform(Text1,Text3), Transform(Text2,Text4)) + self.wait(1) \ No newline at end of file diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file3_Horizontal_Shear_gif.gif b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file3_Horizontal_Shear_gif.gif new file mode 100644 index 0000000..9bef1b6 Binary files /dev/null and b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file3_Horizontal_Shear_gif.gif differ diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file4_Vertical_Shear.py b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file4_Vertical_Shear.py new file mode 100644 index 0000000..718e4e0 --- /dev/null +++ b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file4_Vertical_Shear.py @@ -0,0 +1,52 @@ +from manimlib.imports import * + +class Ver_Shear(GraphScene): + CONFIG = { + "x_min" : -5, + "x_max" : 5, + "y_min" : -5, + "y_max" : 5, + "graph_origin" : ORIGIN+3.5*LEFT, + "x_axis_width" : 7, + "y_axis_height" : 7 + #"x_labeled_nums" : list(range(-5,6)), + #"y_labeled_nums" : list(range(-5,6)), + } + + def construct(self): + XTD = self.x_axis_width/(self.x_max-self.x_min) + YTD = self.y_axis_height/(self.y_max-self.y_min) + + Text1 = TextMobject("Before"," Vertical") + Text1[0].set_color(YELLOW) + Text2 = TextMobject("Shear Transformation") + + Text1.move_to(4*RIGHT+2*UP) + Text2.move_to(4*RIGHT+1*UP) + + self.setup_axes(animate=False) + arrow_i = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*LEFT, end = self.graph_origin+1*XTD*RIGHT+ 0.25*RIGHT) + arrow_j = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*DOWN, end = self.graph_origin+1*XTD*UP+0.25*UP) + arrow_i.set_color(YELLOW) + arrow_j.set_color(YELLOW) + + square = Polygon(self.graph_origin,self.graph_origin+2*XTD*RIGHT, self.graph_origin+2*XTD*RIGHT+2*YTD*UP, self.graph_origin+2*YTD*UP) + square.set_color(DARK_BLUE) + self.play(ShowCreation(square), Write(Text1), Write(Text2), ShowCreation(arrow_i), ShowCreation(arrow_j)) + self.wait(1) + + Text3 = TextMobject("After"," Vertical") + Text3[0].set_color(RED) + Text4 = TextMobject("Shear Transformation") + + Text3.move_to(4*RIGHT+2*UP) + Text4.move_to(4*RIGHT+1*UP) + + trans_arrow_i = Arrow(stroke_width = 3, start = self.graph_origin + 0.15*DOWN + 0.15*LEFT, end = self.graph_origin+1*XTD*UP+1*YTD*RIGHT+0.25*UP+0.25*RIGHT) + trans_arrow_j = Arrow(stroke_width = 3, start = self.graph_origin + 0.25*DOWN, end = self.graph_origin+1*XTD*UP+ 0.25*UP) + trans_arrow_i.set_color(RED) + trans_arrow_j.set_color(RED) + + rhombus = Polygon(self.graph_origin,self.graph_origin+2*XTD*UP, self.graph_origin+2*XTD*RIGHT+4*YTD*UP, self.graph_origin+2*XTD*RIGHT+2*YTD*UP) + self.play(Transform(arrow_i,trans_arrow_i), Transform(arrow_j,trans_arrow_j), FadeOut(square), ShowCreation(rhombus), Transform(Text1,Text3), Transform(Text2,Text4)) + self.wait(1) \ No newline at end of file diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file4_Vertical_Shear_gif.gif b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file4_Vertical_Shear_gif.gif new file mode 100644 index 0000000..7ca323f Binary files /dev/null and b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file4_Vertical_Shear_gif.gif differ -- cgit