Loading in 5 sec....

Identity and Inverse MatricesPowerPoint Presentation

Identity and Inverse Matrices

- 124 Views
- Uploaded on
- Presentation posted in: General

Identity and Inverse Matrices

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Identity and Inverse Matrices

- Identity matrix: a square matrix, multiplied with another matrix doesn’t change the other matrix (just like 1 is the multiplicative identity of real numbers)

Notice: These two matrices are the same. Multiplying by the identity matrix changed nothing

Notice: These two matrices are the same. Multiplying by the identity matrix changed nothing

- You might be wondering: why do I tell you about the identity matrix ?? If it doesn’t do anything, why do we need to know what it is ??
- Inverses: two nXn matrices are inverses of each other if their product is the identity matrix

- Determine whether the following pairs of matrices are inverses of one another:

- To find the inverse of a 2X2 matrix, use the following method:

Rearranged matrix

Inverse of Determinant

If determinant is 0 there is no inverse!!

Basically this tells us to calculate the determinant, then multiply it’s inverse by the rearranged matrix having a and d switch places and b and c as the opposite values

A-1 is the notation used to represent the inverse of matrix A

- Find the inverse matrix for the following matrices:

N/A