Question

What is the product?

Answer 1

Answer: A

Explanation:

When multiplying matrices, find the sum of the product of the terms in the first row of the first matrix with the terms in the first column of the second matrix. Repeat for each row and column.

`\left[\begin{array}{cc}a&c\\b&d\end{array}\right] * \left[\begin{array}{cc}w&y\\x&z\end{array}\right]=\left[\begin{array}{cc}aw+cx&ay+cz\\bw+dx&by+dz\end{array}\right]\\\\\\\left[\begin{array}{cc}-3&4\\2&-5\end{array}\right]* \left[\begin{array}{cc}3&-2\\1&0\end{array}\right]\\\\\\=\left[\begin{array}{cc}-3(3)+4(1)&-3(-2)+4(0)\\2(3)-5(1)&2(-2)-5(0)\end{array}\right]\\\\\\=\left[\begin{array}{cc}-5&6\\1&-4\end{array}\right]`