Algebra 2 problem help please!!!?

Question

right now I am learning about multiplying matrices and having a difficult time with this problem. I have to find the product and if can't be multiplied I need to write "undefined".I need help please. Oh and so you know the [ ]s are supposed to be on top of the one right below it because it is all one thing.

[1 -2] [0 3 -2]

[5 3] [2 5 1]

Answer 1

You have a 2X2 matrix times a 2X3 (two rows 3 columns).  As long as the number of columns in the first equals the number of rows in the second, it works, and the answer will have the same number of rows as the first but the same number of columns as the second.  You get the answer fir first row, first column by multiplying the numbers in the first row of the first matrix by those in the first column of the second (in pairs) then add the answers.  So here that would be 1•0  + -2•2 = -4

First row second column of answer = first row of first matrix times second column of second matrix: 1•3 + -2•5 = -7

second row, first column similarly is 5•0 + 3•2 = 6

keep this pattern going to get all 6 numbers in the answer:

[-4 -7 -4]

[6 30 -7]