Find the matrix product when possible.
-$\left[ \begin{array} { r r r } - 8 & 3 & 3 \ 6 & - 7 & - 6 \end{array} \right] \left[ \begin{array} { r r r } 7 & - 5 & 2 \ - 3 & 1 & - 5 \ - 5 & - 2 & 6 \end{array} \right]$
A)
$\left[ \begin{array} { r r r } - 80 & 37 & - 13 \ 93 & - 25 & 11 \end{array} \right]$
B)
$\left[ \begin{array} { r r r } - 56 & - 15 & 6 \ - 18 & - 7 & 30 \ - 30 & 14 & - 36 \end{array} \right]$
C)
$\left[\begin{array}{rrr}
-8 & 3 & 3 \
6 & -7 & -6 \
7 & -5 & 2 \
-3 & 1 & -5 \
-5 & -2 & 6
\end{array}\right]$

D)
$$\left[ \begin{array} { r r }
- 80 & 93 \
37 & - 25 \
- 13 & 11
\end{array} \right]$$

Question

Find the matrix product when possible.
-$\left[ \begin{array} { r r r } - 8 & 3 & 3 \ 6 & - 7 & - 6 \end{array} \right] \left[ \begin{array} { r r r } 7 & - 5 & 2 \ - 3 & 1 & - 5 \ - 5 & - 2 & 6 \end{array} \right]$
A)
$\left[ \begin{array} { r r r } - 80 & 37 & - 13 \ 93 & - 25 & 11 \end{array} \right]$
B)
$\left[ \begin{array} { r r r } - 56 & - 15 & 6 \ - 18 & - 7 & 30 \ - 30 & 14 & - 36 \end{array} \right]$
C)
$\left[\begin{array}{rrr}
-8 & 3 & 3 \
6 & -7 & -6 \
7 & -5 & 2 \
-3 & 1 & -5 \
-5 & -2 & 6
\end{array}\right]$

D)
$$\left[ \begin{array} { r r } 
- 80 & 93 \
37 & - 25 \
- 13 & 11
\end{array} \right]$$

Quizplus · Accepted Answer

The product of the two matrices is calculated by multiplying rows of the first matrix by columns of the second matrix. The correct product is $\left[ \begin{array} { r r r } - 80 & 37 & - 13 \ 93 & - 25 & 11 \end{array} \right]$, which matches option A.

Find the Matrix Product When Possible A) [−8037−1393−2511]\left[ \begin{array} { r r r } - 80 & 37 & - 13 \\ 93 & - 25 & 11 \end{array} \right][−8093​37−25​−1311​]

Find the Matrix Product When Possible A) $\left[ \begin{array} { r r r } - 80 & 37 & - 13 \\ 93 & - 25 & 11 \end{array} \right]$