## Info

the product AB is not defined since A and B are not conformable with respect to multiplication.

918 APPENDIX B: RUDIMENTS OF MATRIX ALGEBRA

### Properties of Matrix Multiplication

1. Matrix multiplication is not necessarily commutative; that is, in general, AB = BA. Therefore, the order in which the matrices are multiplied is very important. AB means that A is postmultiplied by B or B is premultiplied by A.

2. Even if AB and BA exist, the resulting matrices may not be of the same order. Thus, if A is M x N and B is N x M, AB is M x M whereas BA is N x N, hence of different order.

3. Even if A and B are both square matrices, so that AB and BA are both defined, the resulting matrices will not be necessarily equal. For example, if

Was this article helpful?

Learning About The Rules Of The Rich And Wealthy Can Have Amazing Benefits For Your Life And Success. Discover the hidden rules and beat the rich at their own game. The general population has a love / hate kinship with riches. They resent those who have it, but spend their total lives attempting to get it for themselves. The reason an immense majority of individuals never accumulate a substantial savings is because they don't comprehend the nature of money or how it works.

Get My Free Ebook

## Post a comment