Find the matrix product when possible.
-$$\left[ \begin{array} { r r r }
3 & - 3 & - 3 \
- 8 & 6 & - 2
\end{array} \right] \left[ \begin{array} { r }
- 1 \
5 \
- 1
\end{array} \right]$$
A)
$\left[ \begin{array} { r } 40 \ - 15 \end{array} \right]$
B)
[-1540]
C)
$\left[\begin{array}{rrr}
3 & -3 & -3 \
-8 & 6 & -2 \
-1 & 5 & -1
\end{array}\right]$
D)
$\left[\begin{array}{r}
-15 \
40
\end{array}\right]$

Question

Find the matrix product when possible.
-$$\left[ \begin{array} { r r r } 
3 & - 3 & - 3 \
- 8 & 6 & - 2
\end{array} \right] \left[ \begin{array} { r } 
- 1 \
5 \
- 1
\end{array} \right]$$
A)
$\left[ \begin{array} { r } 40 \ - 15 \end{array} \right]$
B)
[-1540]
C)
$\left[\begin{array}{rrr}
3 & -3 & -3 \
-8 & 6 & -2 \
-1 & 5 & -1
\end{array}\right]$
D)
$\left[\begin{array}{r}
-15 \
40
\end{array}\right]$

Quizplus · Accepted Answer

The product of the given matrices is calculated by multiplying each row of the first matrix by the corresponding column of the second matrix and summing the products. The correct calculation results in $\left[\begin{array}{r} -15 \ 40 \end{array}\right]$.

Find the Matrix Product When Possible [3−3−3−86−2][−15−1]\left[ \begin{array} { r r r } 3 & - 3 & - 3 \\- 8 & 6 & - 2\end{array} \right] \left[ \begin{array} { r } - 1 \\5 \\- 1\end{array} \right][3−8​−36​−3−2​]​−15−1​​

Find the Matrix Product When Possible $\left[ \begin{array} { r r r } 3 & - 3 & - 3 \\- 8 & 6 & - 2\end{array} \right] \left[ \begin{array} { r } - 1 \\5 \\- 1\end{array} \right]$