Question

Find the matrix product, if possible.

Answer 1

below.

Explanation:

The number of columns in the first matrix must equal to the number of rows in the second for multiplication to be possible.

Here first matrix has 3 columns and second one has 3 rows so POSSIBLE.

[ -8 2 2] { 3 }

[ 0 ]

[ -3]

= -8*3 + 2*0 + 2 * -3 = [-30] <-------- Answer.

Note a 1*3 matrix multiplied by a 1*3 matrix gives a 1*1 result.