Answer:
The product is:
[tex]\left[\begin{array}{cc}15 & 14\\-1 & 9\end{array}\right][/tex]
Step-by-step 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:
[tex]\left[\begin{array}{ccc}1&3&1\\-2&1&0\end{array}\right] \times \left[\begin{array}{cc}2&-2\\3&5\\4&1\end{array}\right][/tex]
[tex]1 \times 2 + 3 \times 3 + 1 \times -2 = 15[/tex]
So the value of the element in the position [tex]a_{11}[/tex] is 15
[tex]1 \times -2 + 3 \times 5 + 1 \times 1 = 14[/tex]
So the value of the element in the position [tex]a_{12}[/tex] is 14
Then with these two values you can determinate the result matrix.
[tex]\left[\begin{array}{cc}15 & 14\\-1 & 9\end{array}\right][/tex]
