Question

Please help!

Find the product AB, if possible. Explain if it's not possible.

Answer 1

Answer: c

Explanation:

When multiplying matrices, multiply ACROSS with the left matrix and DOWN with the right matrix.

`\text{Example}:\left[\begin{array}{cc}a&b\\c&d\end{array}\right] * \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}ax+by\\cx+dy\\\end{array}\right]`

`\left[\begin{array}{cc}5&2\\3&-1\end{array}\right] * \left[\begin{array}{c}2\\3\end{array}\right] =\left[\begin{array}{c}5(2)+2(3)\\3(2)-1(3)\\\end{array}\right] = \left[\begin{array}{c}16\\3\end{array}\right]`