Find the product, AB, if possible.
-$$A = \left[ \begin{array} { r r }
0 & - 2 \
3 & 3
\end{array} \right] , B = \left[ \begin{array} { r r r }
- 1 & 3 & 4 \
0 & - 2 & 1
\end{array} \right]$$
A) $\left[ \begin{array} { r r r } 0 & 4 & - 2 \ - 3 & 3 & 15 \end{array} \right]$

B) $\left[ \begin{array} { r r r } 0 & - 6 & - 8 \ 0 & - 6 & 3 \end{array} \right]$

C) $\mathrm { AB }$ is not defined.

D) $\left[ \begin{array} { r r } 0 & - 3 \ 4 & 3 \ - 2 & 15 \end{array} \right]$

Question

Find the product, AB, if possible.
-$$A = \left[ \begin{array} { r r } 
0 & - 2 \
3 & 3
\end{array} \right] , B = \left[ \begin{array} { r r r } 
- 1 & 3 & 4 \
0 & - 2 & 1
\end{array} \right]$$
A) $\left[ \begin{array} { r r r } 0 & 4 & - 2 \ - 3 & 3 & 15 \end{array} \right]$

B) $\left[ \begin{array} { r r r } 0 & - 6 & - 8 \ 0 & - 6 & 3 \end{array} \right]$

C) $\mathrm { AB }$ is not defined.

D) $\left[ \begin{array} { r r } 0 & - 3 \ 4 & 3 \ - 2 & 15 \end{array} \right]$

Quizplus · Accepted Answer

The product of matrices A (2x2) and B (2x3) is possible and results in a 2x3 matrix. The calculation follows the rule of matrix multiplication, where each element of the resulting matrix is the dot product of the rows of the first matrix with the columns of the second.

Find the Product, AB, If Possible A) [04−2−3315]\left[ \begin{array} { r r r } 0 & 4 & - 2 \\ - 3 & 3 & 15 \end{array} \right][0−3​43​−215​]

Find the Product, AB, If Possible A) $\left[ \begin{array} { r r r } 0 & 4 & - 2 \\ - 3 & 3 & 15 \end{array} \right]$