$A = \left[ \begin{array} { r r r }
- 8 & 7 & 6 \
- 1 & - 4 & 2
\end{array} \right] \text { and } B = \left[ \begin{array} { r r r }
1 & 4 & - 2 \
- 6 & - 2 & 3 \
- 9 & - 1 & 5
\end{array} \right]$
A) $\left[ \begin{array} { r r r }
- 104 & - 52 & 67 \
5 & 2 & 0
\end{array} \right]$
B) $\left[ \begin{array} { r r r }
- 8 & 28 & - 12 \
6 & 8 & 6 \
9 & 4 & 10
\end{array} \right]$
C) not possible
D) $\left[ \begin{array} { r }
- 1045 \
- 522 \
670
\end{array} \right]$

Question

$A = \left[ \begin{array} { r r r } 
- 8 & 7 & 6 \
- 1 & - 4 & 2
\end{array} \right] \text { and } B = \left[ \begin{array} { r r r } 
1 & 4 & - 2 \
- 6 & - 2 & 3 \
- 9 & - 1 & 5
\end{array} \right]$
A) $\left[ \begin{array} { r r r } 
- 104 & - 52 & 67 \
5 & 2 & 0
\end{array} \right]$
B) $\left[ \begin{array} { r r r } 
- 8 & 28 & - 12 \
6 & 8 & 6 \
9 & 4 & 10
\end{array} \right]$
C) not possible
D) $\left[ \begin{array} { r } 
- 1045 \
- 522 \
670
\end{array} \right]$

Quizplus · Accepted Answer

The matrix multiplication $AB$ is possible because the number of columns in $A$ (3) matches the number of rows in $B$ (3). The resulting matrix will have dimensions 2x3. The correct result of the multiplication is option A.

A) [−104−5267520]\left[ \begin{array} { r r r } - 104 & - 52 & 67 \\5 & 2 & 0\end{array} \right][−1045​−522​670​]

A) $\left[ \begin{array} { r r r } - 104 & - 52 & 67 \\5 & 2 & 0\end{array} \right]$