SYSTEM OF EQUATIONS (CHAPTER 5)

Distinguishing between consistent and inconsistent system of equations based on rank of matrices

By Autar Kaw

Learn how to distinguish between consistent and inconsistent system of equations based on rank of matrices.

This video teaches you how to distinguish between consistent and inconsistent system of equations based on rank of matrices.

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]