Find the product, AB, if possible.
-$$A = \left[ \begin{array} { r r }
0 & - 2 \
4 & 3
\end{array} \right] , B = \left[ \begin{array} { l l }
- 2 & 0 \
- 1 & 1
\end{array} \right]$$
A) $\left[ \begin{array} { r r } 2 & - 2 \ - 11 & 3 \end{array} \right]$

B) $\left[ \begin{array} { r r } 0 & 4 \ - 4 & 3 \end{array} \right]$

C) $\left[ \begin{array} { r r } - 2 & 2 \ - 5 & - 11 \end{array} \right]$

D) $\left[ \begin{array} { r r } - 8 & - 6 \ 4 & 5 \end{array} \right]$

Question

Find the product, AB, if possible.
-$$A = \left[ \begin{array} { r r } 
0 & - 2 \
4 & 3
\end{array} \right] , B = \left[ \begin{array} { l l } 
- 2 & 0 \
- 1 & 1
\end{array} \right]$$
A) $\left[ \begin{array} { r r } 2 & - 2 \ - 11 & 3 \end{array} \right]$

B) $\left[ \begin{array} { r r } 0 & 4 \ - 4 & 3 \end{array} \right]$

C) $\left[ \begin{array} { r r } - 2 & 2 \ - 5 & - 11 \end{array} \right]$

D) $\left[ \begin{array} { r r } - 8 & - 6 \ 4 & 5 \end{array} \right]$

Quizplus · Accepted Answer

To find the product $AB$, we multiply matrix $A$ by matrix $B$. The product is calculated as follows:$$AB = \left[ \begin{array} { r r } 0 & - 2 \4 & 3\end{array} \right] \left[ \begin{array} { l l } - 2 & 0 \- 1 & 1\end{array} \right] = \left[ \begin{array} { r r } (0 \cdot -2 + -2 \cdot -1) & (0 \cdot 0 + -2 \cdot 1) \(4 \cdot -2 + 3 \cdot -1) & (4 \cdot 0 + 3 \cdot 1)\end{array} \right] = \left[ \begin{array} { r r } 2 & -2 \-11 & 3\end{array} \right]$$

Find the Product, AB, If Possible A=[0−243],B=[−20−11]A = \left[ \begin{array} { r r } 0 & - 2 \\4 & 3\end{array} \right] , B = \left[ \begin{array} { l l } - 2 & 0 \\- 1 & 1\end{array} \right]A=[04​−23​],B=[−2−1​01​]

Find the Product, AB, If Possible $A = \left[ \begin{array} { r r } 0 & - 2 \\4 & 3\end{array} \right] , B = \left[ \begin{array} { l l } - 2 & 0 \\- 1 & 1\end{array} \right]$