Find the indicated matrix.
-Let $A = \left[ \begin{array} { r r } - 1 & 3 \ 2 & 2 \end{array} \right]$ and $B = \left[ \begin{array} { c c } - 2 & 0 \ - 1 & 1 \end{array} \right]$. Find $A B$.
A) $\left[ \begin{array} { l l } - 1 & 3 \ - 6 & 2 \end{array} \right]$
B) $\left[ \begin{array} { l l } 3 & - 1 \ 2 & - 6 \end{array} \right]$
C) $\left[ \begin{array} { r r } 2 & 0 \ - 2 & 2 \end{array} \right]$
D) $\left[ \begin{array} { r r } 2 & - 6 \ - 1 & - 1 \end{array} \right]$

Question

Quizplus · Accepted Answer

To find the product $AB$, we multiply each row of $A$ by each column of $B$. For the first element, $(-1)(-2) + (3)(-1) = 2 - 3 = -1$. For the second element in the first row, $(-1)(0) + (3)(1) = 0 + 3 = 3$. For the first element in the second row, $(2)(-2) + (2)(-1) = -4 - 2 = -6$. For the second element in the second row, $(2)(0) + (2)(1) = 0 + 2 = 2$. Thus, the product $AB = \left[ \begin{array} { l l } - 1 & 3 \ - 6 & 2 \end{array} \right]$.

Find the Indicated Matrix A=[−1322]A = \left[ \begin{array} { r r } - 1 & 3 \\ 2 & 2 \end{array} \right]A=[−12​32​]

Find the Indicated Matrix $A = \left[ \begin{array} { r r } - 1 & 3 \\ 2 & 2 \end{array} \right]$