Find the matrix product when possible.
-$$\left[ \begin{array} { r r r }
1 & 3 & - 2 \
2 & 0 & 4
\end{array} \right] \left[ \begin{array} { r r }
3 & 0 \
- 2 & 1 \
0 & 4
\end{array} \right]$$
A) They cannot be multiplied.
B)
$$\left[ \begin{array} { r r }
- 3 & - 5 \
6 & 16
\end{array} \right]$$

C)
$\left[ \begin{array} { l l } - 5 & - 3 \ 16 & - 6 \end{array} \right]$

D)
$$\left[ \begin{array} { r r r }
3 & 2 & 0 \
0 & 0 & 16
\end{array} \right]$$

Question

Find the matrix product when possible.
-$$\left[ \begin{array} { r r r } 
1 & 3 & - 2 \
2 & 0 & 4
\end{array} \right] \left[ \begin{array} { r r } 
3 & 0 \
- 2 & 1 \
0 & 4
\end{array} \right]$$
A) They cannot be multiplied.
B)
$$\left[ \begin{array} { r r } 
- 3 & - 5 \
6 & 16
\end{array} \right]$$

C)
$\left[ \begin{array} { l l } - 5 & - 3 \ 16 & - 6 \end{array} \right]$

D)
$$\left[ \begin{array} { r r r } 
3 & 2 & 0 \
0 & 0 & 16
\end{array} \right]$$

Quizplus · Accepted Answer

The matrix product is calculated by multiplying rows of the first matrix by columns of the second matrix. The result is a 2x2 matrix, where each element is the sum of the products of corresponding elements. The correct calculation leads to the matrix given in option B.

Find the Matrix Product When Possible A) They Cannot Be Multiplied