How do you multiply matrices?

Algebra
Tutor: None Selected Time limit: 1 Day

I am a sophomore in high school and I need help with matrices.  The category selection doesn't have geometry, the course I am taking, and I really need help.  My teacher didn't explain the material very well, so I am really confused.  

May 28th, 2015

Hi, pmonie

Let A = 

1 2
3 4

and B = 

6 5
7 9

Then the product of C = A * B = 

1 * 6 + 2 * 7    1 * 5 + 2 * 9  

3 * 6 + 4 * 7    3 * 5 + 4 * 9

which is equal to

20  23

46  51

The short answer is to multiply the ith row times the jth column to get the element in the i,j entry of the product. So, multiplying row 1 of A times column 1 of B gives the element in the 1st row and 1st column of C.

Here are sites that should be helpful: https://www.mathsisfun.com/algebra/matrix-multiplying.html and

http://matrix.reshish.com/multiplication.php

May 28th, 2015

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