Find the matrix product when possible.
-$$\left[ \begin{array} { r r }
- 1 & 3 \
1 & 4
\end{array} \right] \left[ \begin{array} { l l l }
0 & - 2 & 5 \
1 & - 3 & 2
\end{array} \right]$$
A)
$$\left[ \begin{array} { c c c }
3 & - 7 & 1 \
4 & - 14 & 13
\end{array} \right]$$

B)
$$\left[ \begin{array} { r r }
3 & 4 \
- 7 & - 14 \
1 & 13
\end{array} \right]$$

C) They cannot be multiplied.
D)
$$\left[ \begin{array} { r r r }
0 & - 6 & 8 \
1 & - 12 & 8
\end{array} \right]$$

Question

Find the matrix product when possible.
-$$\left[ \begin{array} { r r } 
- 1 & 3 \
1 & 4
\end{array} \right] \left[ \begin{array} { l l l } 
0 & - 2 & 5 \
1 & - 3 & 2
\end{array} \right]$$
A)
$$\left[ \begin{array} { c c c } 
3 & - 7 & 1 \
4 & - 14 & 13
\end{array} \right]$$

B)
$$\left[ \begin{array} { r r } 
3 & 4 \
- 7 & - 14 \
1 & 13
\end{array} \right]$$

C) They cannot be multiplied.
D)
$$\left[ \begin{array} { r r r } 
0 & - 6 & 8 \
1 & - 12 & 8
\end{array} \right]$$

Quizplus · Accepted Answer

To find the matrix product, we multiply each row of the first matrix by each column of the second matrix and sum the products. For the given matrices, the calculation results in the matrix $\left[ \begin{array} { c c c } 3 & - 7 & 1 \ 4 & - 14 & 13 \end{array} \right]$, which matches option A.

Find the Matrix Product When Possible [−1314][0−251−32]\left[ \begin{array} { r r } - 1 & 3 \\1 & 4\end{array} \right] \left[ \begin{array} { l l l } 0 & - 2 & 5 \\1 & - 3 & 2\end{array} \right][−11​34​][01​−2−3​52​]

Find the Matrix Product When Possible $\left[ \begin{array} { r r } - 1 & 3 \\1 & 4\end{array} \right] \left[ \begin{array} { l l l } 0 & - 2 & 5 \\1 & - 3 & 2\end{array} \right]$