N

That is, the element in the ith row and the jth column of C is obtained by multiplying the elements of the ith row of A by the corresponding elements of the jth column of B and summing over all terms; this is known as the row by column rule of multiplication. Thus, to obtain c 11, the element in the first row and the first column of C, we multiply the elements in the first row of A by the corresponding elements in the first column of B and sum over all terms. Similarly, to obtain c 12, we multiply the elements in the first row of A by the corresponding elements in the second column of B and sum over all terms, and so on.

Note that for multiplication to exist, matrices A and B must be conformable with respect to multiplication; that is, the number of columns in A must be equal to the number of rows in B. If, for example,

Was this article helpful?

0 0
Rules Of The Rich And Wealthy

Rules Of The Rich And Wealthy

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