Find the matrix product AB, if it is defined.
-$$A = \left[ \begin{array} { r r }
0 & - 2 \
4 & 3
\end{array} \right] , B = \left[ \begin{array} { r r r }
- 1 & 3 & 2 \
0 & - 3 & 1
\end{array} \right]$$
A)
$$\left[ \begin{array} { r r r }
0 & - 6 & - 8 \
0 & - 9 & 3
\end{array} \right]$$

B)

$$\left[ \begin{array} { r r r }
0 & 6 & - 2 \
- 4 & 3 & 11
\end{array} \right]$$
C) $\mathrm { AB }$ is undefined.
D)
$$\left[ \begin{array} { r r r }
0 & - 4 & 6 \
3 & - 2 & 11
\end{array} \right]$$

Question

Find the matrix product AB, if it is defined.
-$$A = \left[ \begin{array} { r r } 
0 & - 2 \
4 & 3
\end{array} \right] , B = \left[ \begin{array} { r r r } 
- 1 & 3 & 2 \
0 & - 3 & 1
\end{array} \right]$$
A)
$$\left[ \begin{array} { r r r } 
0 & - 6 & - 8 \
0 & - 9 & 3
\end{array} \right]$$

B)

$$\left[ \begin{array} { r r r } 
0 & 6 & - 2 \
- 4 & 3 & 11
\end{array} \right]$$
C) $\mathrm { AB }$ is undefined.
D)
$$\left[ \begin{array} { r r r } 
0 & - 4 & 6 \
3 & - 2 & 11
\end{array} \right]$$

Quizplus · Accepted Answer

The product of matrices A and B is defined because the number of columns in A (2) matches the number of rows in B (2). The product is calculated by multiplying rows of A by columns of B and summing the products.

Find the Matrix Product AB, If It Is Defined A) [0−6−80−93]\left[ \begin{array} { r r r } 0 & - 6 & - 8 \\0 & - 9 & 3\end{array} \right][00​−6−9​−83​]

Find the Matrix Product AB, If It Is Defined A) $\left[ \begin{array} { r r r } 0 & - 6 & - 8 \\0 & - 9 & 3\end{array} \right]$