Merge pull request #6 from FOSSEE/master

Update fork repo. DONE

1 files changed, 31 insertions, 3 deletions

diff --git a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file1_transformations.py b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file1_transformations.py
index 677f890..0182bd9 100644
--- a/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file1_transformations.py
+++ b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file1_transformations.py
@@ -2,16 +2,20 @@ from manimlib.imports import *
 
 class text(Scene):
     def construct(self):
-        text1 = TextMobject("For a grid, undergoing a linear transformation, all it's straight lines")
+        text1 = TextMobject("For a grid, undergoing a linear transformation, all its straight lines")
         text1.scale(0.9)
         text2 = TextMobject("must either remain straight lines or sends to a point in the grid formed")
         text2.scale(0.9)
+        text3 = TextMobject("Origin must remain where it was before transformation.")
+        text3.scale(0.9)
         text1.move_to(ORIGIN+UP)
         text2.move_to(ORIGIN)
+        text3.move_to(ORIGIN+DOWN)
         self.play(Write(text1))
         self.play(Write(text2))
+        self.play(Write(text3))
         self.wait()
-        self.play(FadeOut(text1),FadeOut(text2))
+        self.play(FadeOut(text1),FadeOut(text2),FadeOut(text3))
 
 class LinearTransformation(LinearTransformationScene):
     CONFIG = {
@@ -34,6 +38,7 @@ class NonLinearTransformation(Scene):
     def construct(self):
         grid = NumberPlane()
         self.play(ShowCreation(grid),run_time =2)
+        # I have taken reference from purusharth's code
         NonLinearTrans = lambda coordinates : coordinates + np.array([np.sin(coordinates[1]),np.sin(coordinates[0]),0,])
         grid.prepare_for_nonlinear_transform()
         self.play(grid.apply_function,NonLinearTrans)
@@ -42,4 +47,27 @@ class NonLinearTransformation(Scene):
         text[1].move_to(1.5*DOWN+4*LEFT)
         text.add_background_rectangle()
         self.play(Write(text))
-        self.wait()
\ No newline at end of file
+        self.wait()
+        
+class MoveOrigin(LinearTransformationScene):
+
+    CONFIG = {
+        "show_basis_vectors": False,
+    }
+    def construct(self):
+        self.wait()
+
+        dot = Dot(ORIGIN, color = YELLOW)
+        self.add_transformable_mobject(dot)
+        self.apply_nonlinear_transformation(self.func)
+        text = TextMobject("This is also not a linear transformation as the origin moves from its original position")
+        text.move_to(2*DOWN)
+        text.scale(0.5)
+        text.set_color(YELLOW)
+        text.add_background_rectangle()
+        self.play(Write(text))
+        self.wait()
+
+    def func(self, point):
+        matrix_transform = self.get_matrix_transformation([[1, -1], [1, 1]])
+        return matrix_transform(point) + UP+ RIGHT