Find the matrix product when possible.
-$$\left[ \begin{array} { r r r }
- 9 & - 5 & - 5 \
1 & - 1 & 8 \
9 & - 1 & 7
\end{array} \right] \left[ \begin{array} { r r r }
4 & - 9 & 2 \
2 & 2 & - 2 \
- 3 & 9 & - 1
\end{array} \right]$$
A)
$\left[\begin{array}{rrr}
-31 & 26 & -3 \
-22 & 61 & -4 \
13 & -20 & 13
\end{array}\right]$

B)
$\left[\begin{array}{rrr}
-36 & 45 & -10 \
2 & -2 & -16 \
-27 & -9 & -7
\end{array}\right]$

C)
$\left[\begin{array}{rrr}
-9 & -5 & -5 \
1 & -1 & 8 \
9 & -1 & 7 \
4 & -9 & 2 \
2 & 2 & -2 \
-3 & 9 & -1
\end{array}\right]$

D)
$\left[\begin{array}{rrr}
-31 & -22 & 13 \
26 & 61 & -20 \
-3 & -4 & 13
\end{array}\right]$

Question

Find the matrix product when possible.
-$$\left[ \begin{array} { r r r } 
- 9 & - 5 & - 5 \
1 & - 1 & 8 \
9 & - 1 & 7
\end{array} \right] \left[ \begin{array} { r r r } 
4 & - 9 & 2 \
2 & 2 & - 2 \
- 3 & 9 & - 1
\end{array} \right]$$
A)
$\left[\begin{array}{rrr}
-31 & 26 & -3 \
-22 & 61 & -4 \
13 & -20 & 13
\end{array}\right]$

B)
$\left[\begin{array}{rrr}
-36 & 45 & -10 \
2 & -2 & -16 \
-27 & -9 & -7
\end{array}\right]$

C)
$\left[\begin{array}{rrr}
-9 & -5 & -5 \
1 & -1 & 8 \
9 & -1 & 7 \
4 & -9 & 2 \
2 & 2 & -2 \
-3 & 9 & -1
\end{array}\right]$

D)
$\left[\begin{array}{rrr}
-31 & -22 & 13 \
26 & 61 & -20 \
-3 & -4 & 13
\end{array}\right]$

Quizplus · Accepted Answer

To find the product of two matrices, multiply each row of the first matrix by each column of the second matrix and sum the products. The correct product matrix is $\left[\begin{array}{rrr} -31 & 26 & -3 \ -22 & 61 & -4 \ 13 & -20 & 13 \end{array}\right]$.

Find the Matrix Product When Possible A) [−3126−3−2261−413−2013]\left[\begin{array}{rrr}-31 & 26 & -3 \\-22 & 61 & -4 \\13 & -20 & 13\end{array}\right]​−31−2213​2661−20​−3−413​​

Find the Matrix Product When Possible A) $\left[\begin{array}{rrr}-31 & 26 & -3 \\-22 & 61 & -4 \\13 & -20 & 13\end{array}\right]$