code for last video of GSOP added

1 files changed, 51 insertions, 0 deletions

diff --git a/FSF-2020/linear-algebra/linear-transformations/Gram Schmidt Orthonormalization Process/file3_Non_Standard_Basis.py b/FSF-2020/linear-algebra/linear-transformations/Gram Schmidt Orthonormalization Process/file3_Non_Standard_Basis.py
new file mode 100644
index 0000000..6410a2c
--- /dev/null
+++ b/FSF-2020/linear-algebra/linear-transformations/Gram Schmidt Orthonormalization Process/file3_Non_Standard_Basis.py
@@ -0,0 +1,51 @@
+from manimlib.imports import *
+
+class NSB(ThreeDScene):
+    def construct(self):
+
+        axes = ThreeDAxes(x_min = -4,x_max=4,y_min=-4,y_max=4,z_min=-4,z_max=4)
+        self.play(ShowCreation(axes))
+        self.move_camera(phi=60*DEGREES,theta=45*DEGREES,run_time=3)
+        self.begin_ambient_camera_rotation(rate=0.5)
+
+        matrix = [[0.577,0.577,0.577],[-0.577,0.577,0.577],[0.577,-0.577,0.577]]
+
+        line1 = Line(start = ORIGIN,end = 1*RIGHT)
+        line1.set_color(DARK_BLUE)
+        tip1 = Polygon(RIGHT,0.9*RIGHT-0.1*DOWN,0.9*RIGHT-0.1*UP)
+        tip1.set_opacity(1)
+        tip1.set_fill(DARK_BLUE)
+        tip1.set_color(DARK_BLUE)
+
+        arrow2 = Line(start = ORIGIN,end = 1*UP)
+        arrow2.set_color(DARK_BLUE)
+        tip2 = Polygon(UP,0.9*UP-0.1*RIGHT,0.9*UP-0.1*LEFT)
+        tip2.set_opacity(1)
+        tip2.set_fill(DARK_BLUE)
+        tip2.set_color(DARK_BLUE)
+        arrow2.set_color(DARK_BLUE)
+        
+        arrow3 = Line(start = ORIGIN,end = [0,0,1])
+        arrow3.set_color(DARK_BLUE)
+        tip3 = Polygon([0,0,1],[0,0,0.9]-0.1*RIGHT,[0,0,0.9]-0.1*LEFT)
+        tip3.set_opacity(1)
+        tip3.set_fill(DARK_BLUE)
+        tip3.set_color(DARK_BLUE)
+
+        line1.apply_matrix(matrix)
+        tip1.apply_matrix(matrix)
+        arrow2.apply_matrix(matrix)
+        tip2.apply_matrix(matrix)
+        arrow3.apply_matrix(matrix)
+        tip3.apply_matrix(matrix)
+
+        self.play(ShowCreation(line1), ShowCreation(tip1), ShowCreation(arrow2), ShowCreation(tip2), ShowCreation(arrow3), ShowCreation(tip3))
+        
+        text = TextMobject(r"This is also a set of Orthonormal Vectors")
+        text.set_color(DARK_BLUE)
+        self.add_fixed_in_frame_mobjects(text)
+        text.scale(0.6)
+        text.move_to(3*DOWN+3.5*RIGHT)
+        self.play(Write(text))
+
+        self.wait(7)
\ No newline at end of file