semi-final 4FSS

1 files changed, 26 insertions, 0 deletions

diff --git a/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file8_Left_Null_Space.py b/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file8_Left_Null_Space.py
new file mode 100755
index 0000000..fd05e75
--- /dev/null
+++ b/FSF-2020/linear-algebra/linear-transformations/The-Four-Fundamental-Subspaces/file8_Left_Null_Space.py
@@ -0,0 +1,26 @@
+from manimlib.imports import *
+
+class Left_Null_Space(Scene):
+    def construct(self):
+
+        A = TextMobject(r"Left Null Space of A")
+        A.move_to(3*UP)
+        defn = TextMobject(r"It is a vector space that consists of all the solution $x$ to the equation $A^{T}x=0$")
+        defn.move_to(2*UP)
+        defn.scale(0.75)
+        eqn1 = TextMobject(r"$A^{T}x=0 \cdots (i)$")
+        eqn1.move_to(UP)
+        self.play(Write(A), Write(defn), Write(eqn1),run_time=1)
+        statement = TextMobject(r"Taking transpose of eqn $(i)$")
+        eqn = TextMobject(r"$(A^{T}x)^{T}=0$")
+        eqn.move_to(DOWN)
+        eqn2 = TextMobject(r"$x^{T}(A^{T})^{T}=0$")
+        eqn2.move_to(DOWN)
+        eqn3 = TextMobject(r"$x^{T}A=0$")
+        eqn3.move_to(DOWN)
+        self.play(Write(statement),Write(eqn),run_time=1)
+        self.wait(0.5)
+        self.play(Transform(eqn,eqn2),run_time=1)
+        self.wait(0.5)
+        self.play(Transform(eqn,eqn3),run_time=1)
+        self.wait(0.5)
\ No newline at end of file