TOPIC
MY PROGRESS
Pug Score
0%
Getting Started
"Let's build your foundation!"
Study Points
+0
Overview
Watch
Read
Next Steps
Get Started
Get unlimited access to all videos, practice problems, and study tools.
BACK TO MENU
Topic Progress
Pug Score
0%
Getting Started
"Let's build your foundation!"
Videos Watched
0/0
Read
Not viewed
Study Points
+0
Overview
Watch
Read
Next Steps
Watch
Intro to the Invertible Matrix Theorem and its 10 statements
📝 My Notes
Auto-saves the current timestamp
Intro to the Invertible Matrix Theorem and its 10 statements
15:43
About this lesson
• only works for \(n \times n\) square matrices
• If one is true, then they are all true
• If one is false, then they are all false
Key Moments
No key moments available.
Video 1 of 10
Intro to the Invertible Matrix Theorem and its 10 statements
16 min
• Selected
Applying the invertible matrix theorem with examples
8 min
Determining invertibility using column linear dependence
5 min
Checking invertibility of a 4x4 matrix using pivot positions
3 min
True or false: invertibility implies x to Ax maps Rn onto Rn
3 min
Proving CA=I implies AD=I using the invertible matrix theorem
2 min
Disproving "AX=0 has trivial solution implies A is not invertible"
3 min
Proving Ax=0 having a nontrivial solution implies A has less than n pivots
4 min
Why a square matrix with two identical rows is not invertible
11 min
Proving that if AB is invertible then B is invertible
7 min