professorserna.com

Inverse of a Square Matrix

I have removed all annotations from my videos that were used to correct errors (YouTube is getting rid of Annotattions) Any errors in the videos have been corrected in the NOTES. If you have already subscribed, you can use your User Name and your Password to download the NOTES in a MS WORD FILE. or a PDF FILE. (If you have trouble downloading the file on your phone, use the Opera Browser) If you haven't subscribed, subscribe now

Let's say that A and B are two nxn matrices (square matrices) and let In be the identity nxn matrix for multiplication. We say that B is the inverse of A if AxB=In and BxA=In. In other words, B is the inverse of A if their product equals the identity matrix. In this video I show you how to calculate the inverse of a square matrix, if it exists. If the matrix has an inverse, it is called non-singular. If it doesn't, it is called singular.