blob: fd05e752e068c6ab16b986f860e9b1c6c32eced2 (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
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)
|
