# Chapter 05 If the Inverse of A Exists is it Unique

##### 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]
• 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]
###### Complete Resources

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