1 files changed, 45 insertions, 0 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
new file mode 100644
index 0000000..677f890
--- /dev/null
+++ b/FSF-2020/linear-algebra/linear-transformations/Linear-Transformations-(Linear-Maps)/file1_transformations.py
@@ -0,0 +1,45 @@
+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.scale(0.9)
+        text2 = TextMobject("must either remain straight lines or sends to a point in the grid formed")
+        text2.scale(0.9)
+        text1.move_to(ORIGIN+UP)
+        text2.move_to(ORIGIN)
+        self.play(Write(text1))
+        self.play(Write(text2))
+        self.wait()
+        self.play(FadeOut(text1),FadeOut(text2))
+
+class LinearTransformation(LinearTransformationScene):
+    CONFIG = {
+    "basis_vector_stroke_width": 3,
+    "leave_ghost_vectors": True,
+    }
+
+    def construct(self):
+        self.setup()
+        matrix = [[0.866,-0.5],[0.5,0.866]]
+        self.apply_matrix(matrix)
+        text = TextMobject("This is a Linear","Trasformation")
+        text[0].move_to(DOWN+4*LEFT)
+        text[1].move_to(1.5*DOWN+4*LEFT)
+        text.add_background_rectangle()
+        self.play(Write(text))
+        self.wait()
+
+class NonLinearTransformation(Scene):
+    def construct(self):
+        grid = NumberPlane()
+        self.play(ShowCreation(grid),run_time =2)
+        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)
+        text = TextMobject("While, this is not a","Linear Trasformation")
+        text[0].move_to(DOWN+4*LEFT)
+        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