Question

What is the product?

Answer 1

The product is:

`\left[\begin{array}{cc}15 & 14\\-1 & 9\end{array}\right]`

Explanation:

For this problem you need to multiply the first row only for the two first column of the others matrix and get the desired result:

`\left[\begin{array}{ccc}1&3&1\\-2&1&0\end{array}\right] * \left[\begin{array}{cc}2&-2\\3&5\\4&1\end{array}\right]`

`1 * 2 + 3 * 3 + 1 * -2 = 15`

So the value of the element in the position
`a_(11)` is 15

`1 * -2 + 3 * 5 + 1 * 1 = 14`

So the value of the element in the position
`a_(12)` is 14

Then with these two values you can determinate the result matrix.

`\left[\begin{array}{cc}15 & 14\\-1 & 9\end{array}\right]`