Find the matrix product AB, if it is defined.
-$$A = \left[ \begin{array} { r r }
0 & - 3 \
4 & 3
\end{array} \right] , B = \left[ \begin{array} { l l }
- 2 & 0 \
- 1 & 1
\end{array} \right]$$
A)
$\left[ \begin{array} { r r } 3 & - 3 \ - 11 & 3 \end{array} \right]$

B)
$\left[ \begin{array} { r r } 0 & 6 \ - 4 & 3 \end{array} \right]$

C)
$\left[ \begin{array} { r r } - 8 & - 6 \ 4 & 6 \end{array} \right]$

D)
$\left[ \begin{array} { r r } - 3 & 3 \ - 5 & - 11 \end{array} \right]$

Question

Find the matrix product AB, if it is defined.
-$$A = \left[ \begin{array} { r r } 
0 & - 3 \
4 & 3
\end{array} \right] , B = \left[ \begin{array} { l l } 
- 2 & 0 \
- 1 & 1
\end{array} \right]$$
A)
$\left[ \begin{array} { r r } 3 & - 3 \ - 11 & 3 \end{array} \right]$

B)
$\left[ \begin{array} { r r } 0 & 6 \ - 4 & 3 \end{array} \right]$

C)
$\left[ \begin{array} { r r } - 8 & - 6 \ 4 & 6 \end{array} \right]$

D)
$\left[ \begin{array} { r r } - 3 & 3 \ - 5 & - 11 \end{array} \right]$

Quizplus · Accepted Answer

To find the matrix product $AB$, multiply each row of matrix $A$ by each column of matrix $B$ and sum the products. For $AB$, the calculations are as follows:- For the first row and first column: $0*(-2) + (-3)*(-1) = 3$- For the first row and second column: $0*0 + (-3)*1 = -3$- For the second row and first column: $4*(-2) + 3*(-1) = -8 - 3 = -11$- For the second row and second column: $4*0 + 3*1 = 3$Thus, the product $AB$ is $\left[ \begin{array} { r r } 3 & -3 \ -11 & 3 \end{array} \right]$.

Find the Matrix Product AB, If It Is Defined A=[0−343],B=[−20−11]A = \left[ \begin{array} { r r } 0 & - 3 \\4 & 3\end{array} \right] , B = \left[ \begin{array} { l l } - 2 & 0 \\- 1 & 1\end{array} \right]A=[04​−33​],B=[−2−1​01​]

Find the Matrix Product AB, If It Is Defined $A = \left[ \begin{array} { r r } 0 & - 3 \\4 & 3\end{array} \right] , B = \left[ \begin{array} { l l } - 2 & 0 \\- 1 & 1\end{array} \right]$