1 / 7

Identity and Inverse Matrices

Identity and Inverse Matrices. Key Topics. 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). Identity Matrix in Action.

judd
Download Presentation

Identity and Inverse Matrices

An Image/Link below is provided (as is) to download presentation 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. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Identity and Inverse Matrices

  2. Key Topics • 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)

  3. Identity Matrix in Action 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

  4. Key Topics • 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

  5. Checking for Inverse Matrices • Determine whether the following pairs of matrices are inverses of one another:

  6. Finding 2X2 Inverse Matrices • 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

  7. Practice • Find the inverse matrix for the following matrices: N/A

More Related