Find the matrix product when possible.
-$$\left[ \begin{array} { l l l }
- 3 & 8 & - 2
\end{array} \right] \left[ \begin{array} { r r r }
7 & 6 & - 2 \
- 1 & 2 & - 2 \
6 & - 7 & 6
\end{array} \right]$$
A)

$$\left[ \begin{array} { r r r }
- 21 & 48 & 4 \
3 & 16 & 4 \
- 18 & - 56 & - 12
\end{array} \right]$$
B)
$\left[\begin{array}{rrr}
-3 & 8 & -2 \
7 & 6 & -2 \
-1 & 2 & -2 \
6 & -7 & 6
\end{array}\right]$

C)
$$\left[ \begin{array} { r }
- 41 \
12 \
- 22
\end{array} \right]$$
D)
$\left[ \begin{array} { l l l } - 41 & 12 & - 22 \end{array} \right]$

Question

Find the matrix product when possible.
-$$\left[ \begin{array} { l l l } 
- 3 & 8 & - 2
\end{array} \right] \left[ \begin{array} { r r r } 
7 & 6 & - 2 \
- 1 & 2 & - 2 \
6 & - 7 & 6
\end{array} \right]$$
A)

$$\left[ \begin{array} { r r r } 
- 21 & 48 & 4 \
3 & 16 & 4 \
- 18 & - 56 & - 12
\end{array} \right]$$
B)
$\left[\begin{array}{rrr}
-3 & 8 & -2 \
7 & 6 & -2 \
-1 & 2 & -2 \
6 & -7 & 6
\end{array}\right]$

C)
$$\left[ \begin{array} { r } 
- 41 \
12 \
- 22
\end{array} \right]$$
D)
$\left[ \begin{array} { l l l } - 41 & 12 & - 22 \end{array} \right]$

Quizplus · Accepted Answer

The product of a 1x3 matrix and a 3x3 matrix results in a 1x3 matrix. The correct calculation leads to the result $[-41, 12, -22]$, which matches option D.

Find the Matrix Product When Possible A) [−214843164−18−56−12]\left[ \begin{array} { r r r } - 21 & 48 & 4 \\3 & 16 & 4 \\- 18 & - 56 & - 12\end{array} \right]​−213−18​4816−56​44−12​​

Find the Matrix Product When Possible A) $\left[ \begin{array} { r r r } - 21 & 48 & 4 \\3 & 16 & 4 \\- 18 & - 56 & - 12\end{array} \right]$