Question

Find the product AB, if possible.

Answer 1

Answer:

see below

Step-by-step explanation:

The number of columns of A is equal to the number of rows of B, so multiplication is possible. It works well to have a calculator do this for you. It involves 27 multiplications and 18 additions, tedious at best.

Each product term is the sum of products ...

p[row=i, column=j] = a[i, 1]b[1, j] +a[i, 2]b[2, j] +a[i, 3]b[3, j]

For example, the product term in the 3rd row, 2nd column is ...

p[3, 2] = a[3, 1]b[1, 2] +a[3, 2]b[2, 2] +a[3, 3]b[3, 2]

= (-4)(-5) +(-1)(3) +(-9)(4) = 20 -3 -36

p[3, 2] = -19