Find the product AB, if possible.
-$A = \left[ \begin{array} { r r r } 3 & - 2 & 1 \ 0 & 4 & - 3 \end{array} \right] , B = \left[ \begin{array} { r r } 4 & 0 \ - 2 & 3 \end{array} \right]$
A) $\mathrm { AB }$ is not defined.
B)
$\left[ \begin{array} { r r r } 12 & - 8 & 4 \ - 6 & 16 & - 11 \end{array} \right]$
C)
$\left[ \begin{array} { r r } 12 & - 6 \ - 8 & 16 \ 4 & - 11 \end{array} \right]$
D)

$\left[ \begin{array} { r r } 12 & 0 \ 0 & 12 \end{array} \right]$

Question

Find the product AB, if possible.
-$A = \left[ \begin{array} { r r r } 3 & - 2 & 1 \ 0 & 4 & - 3 \end{array} \right] , B = \left[ \begin{array} { r r } 4 & 0 \ - 2 & 3 \end{array} \right]$
A) $\mathrm { AB }$ is not defined.
B)
$\left[ \begin{array} { r r r } 12 & - 8 & 4 \ - 6 & 16 & - 11 \end{array} \right]$
C)
$\left[ \begin{array} { r r } 12 & - 6 \ - 8 & 16 \ 4 & - 11 \end{array} \right]$
D)

$\left[ \begin{array} { r r } 12 & 0 \ 0 & 12 \end{array} \right]$

Quizplus · Accepted Answer

Matrix multiplication is only possible when the number of columns in the first matrix equals the number of rows in the second matrix. Matrix A is 2x3 and matrix B is 2x2, so the product AB is not defined.

Find the Product AB, If Possible A) AB\mathrm { AB }AB

Find the Product AB, If Possible A) $\mathrm { AB }$