System of Equations (CHAPTER 5)
Topic
If the inverse of \left[ A \right] exists, is it unique?
Description
Learn how to prove that if the inverse of \left[ A \right] exists, then it is unique.
This video teaches you how to prove that if the inverse of \left[ A \right] exists, then it is unique..
All Videos for this Topic


 A real life problem of setting up simultaneous linear equations [YOUTUBE 5:23] [TRANSCRIPT]
 Writing simultaneous linear equations in matrix form [YOUTUBE 5:25] [TRANSCRIPT]



 Consistent and inconsistent system of equations Theory [YOUTUBE 2:56] [TRANSCRIPT]
 Consistent and inconsistent system of equations Example [YOUTUBE 5:31] [TRANSCRIPT]



 Rank of a matrix Definition [YOUTUBE 1:21] [TRANSCRIPT]
 Rank of a matrix Example 1 [YOUTUBE 1:31] [TRANSCRIPT]
 Rank of a matrix Example 2 [YOUTUBE 2:50] [TRANSCRIPT]



 Distinguishing between consistent and inconsistent system of equations based on rank of matrices [YOUTUBE 3:06] [TRANSCRIPT]
 Distinguishing between consistent and inconsistent system of equations based on rank of matrices Example 1 [YOUTUBE 4:15] [TRANSCRIPT]
 Distinguishing between consistent and inconsistent system of equations based on rank of matrices Example 2 [YOUTUBE 8:42] [TRANSCRIPT]
 Distinguishing between consistent and inconsistent system of equations based on rank of matrices Example 3 [YOUTUBE 6:07] [TRANSCRIPT]



 If a solution exists, how do we know if it is unique? [YOUTUBE 3:25] [TRANSCRIPT]
 Does a set of equations have a unique solution? Example 1 [YOUTUBE 2:18] [TRANSCRIPT]
 Does a set of equations have a unique solution? Example 2 [YOUTUBE 2:23] [TRANSCRIPT]
 If we have more equations than unknowns, does it mean we have inconsistent system of equations? [YOUTUBE 8:11] [TRANSCRIPT]
 Can a system of equations have more then one but not infinite number of solutions? [YOUTUBE 4:57] [TRANSCRIPT]



 Can we divide two matrices? [YOUTUBE 5:39] [TRANSCRIPT]
 Some statements about the inverse of matrices [YOUTUBE 2:53] [TRANSCRIPT]
 Inverse of matrices Example [YOUTUBE 3:40] [TRANSCRIPT]
 Using concept of inverse to solve a set of equations [YOUTUBE 2:27] [TRANSCRIPT]
 Finding the inverse of a matrix Theory [YOUTUBE 4:32] [TRANSCRIPT]
 Finding the inverse of a matrix Example [YOUTUBE 7:03] [TRANSCRIPT]
 Finding the inverse of a matrix by adjoints Theory [YOUTUBE 2:15] [TRANSCRIPT]
 Finding the inverse of a matrix by adjoints Example [YOUTUBE 7:19] [TRANSCRIPT]
 If the inverse of [A] exists, is it unique? [YOUTUBE 2:30] [TRANSCRIPT]

Complete Resources
Get in one place the following: a textbook chapter, a PowerPoint presentation, individual YouTube lecture videos, multiplechoice questions, and problem sets on System of Equations.