Find the matrix product when possible.
-$$\left[ \begin{array} { r r r }
1 & 3 & - 3 \
2 & 0 & 5
\end{array} \right] \left[ \begin{array} { r r }
3 & 0 \
- 3 & 1 \
0 & 5
\end{array} \right]$$
A) They cannot be multiplied.
B)
$$\left[ \begin{array} { r r r }
3 & 2 & 0 \
0 & 0 & 25
\end{array} \right]$$
C)
$$\left[ \begin{array} { r r }
- 6 & - 12 \
6 & 25
\end{array} \right]$$
D)
$$\left[ \begin{array} { r r }
- 12 & - 6 \
25 & - 6
\end{array} \right]$$

Question

Find the matrix product when possible.
-$$\left[ \begin{array} { r r r } 
1 & 3 & - 3 \
2 & 0 & 5
\end{array} \right] \left[ \begin{array} { r r } 
3 & 0 \
- 3 & 1 \
0 & 5
\end{array} \right]$$
A) They cannot be multiplied.
B)
$$\left[ \begin{array} { r r r } 
3 & 2 & 0 \
0 & 0 & 25
\end{array} \right]$$
C)
$$\left[ \begin{array} { r r } 
- 6 & - 12 \
6 & 25
\end{array} \right]$$
D)
$$\left[ \begin{array} { r r } 
- 12 & - 6 \
25 & - 6
\end{array} \right]$$

Quizplus · Accepted Answer

The product of the given matrices is calculated by multiplying rows of the first matrix by columns of the second matrix. The resulting matrix is a 2x2 matrix, which matches option C after performing the calculations.

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