Multiply Matrices

-$$A = \left[ \begin{array} { r r }
- 1 & 3 \
2 & 2
\end{array} \right] , B = \left[ \begin{array} { l l }
- 2 & 0 \
- 1 & 5
\end{array} \right]$$
A)
$\left[ \begin{array} { l l } - 1 & 15 \ - 6 & 10 \end{array} \right]$
B)
$\left[ \begin{array} { r r } 2 & 0 \ - 2 & 10 \end{array} \right]$
C)
$\left[ \begin{array} { r r } 2 & - 6 \ - 1 & 7 \end{array} \right]$
D)
$\left[ \begin{array} { l l } 15 & - 1 \ 10 & - 6 \end{array} \right]$

Question

Multiply Matrices

-$$A = \left[ \begin{array} { r r } 
- 1 & 3 \
2 & 2
\end{array} \right] , B = \left[ \begin{array} { l l } 
- 2 & 0 \
- 1 & 5
\end{array} \right]$$
A)
$\left[ \begin{array} { l l } - 1 & 15 \ - 6 & 10 \end{array} \right]$
B)
$\left[ \begin{array} { r r } 2 & 0 \ - 2 & 10 \end{array} \right]$
C)
$\left[ \begin{array} { r r } 2 & - 6 \ - 1 & 7 \end{array} \right]$
D)
$\left[ \begin{array} { l l } 15 & - 1 \ 10 & - 6 \end{array} \right]$

Quizplus · Accepted Answer

To multiply matrices $A$ and $B$, we perform the following calculations for each element of the resulting matrix:- For the element in the first row and first column: $(-1) \times (-2) + 3 \times (-1) = 2 - 3 = -1$- For the element in the first row and second column: $(-1) \times 0 + 3 \times 5 = 0 + 15 = 15$- For the element in the second row and first column: $2 \times (-2) + 2 \times (-1) = -4 - 2 = -6$- For the element in the second row and second column: $2 \times 0 + 2 \times 5 = 0 + 10 = 10$Thus, the product of matrices $A$ and $B$ is $\left[ \begin{array} { l l } - 1 & 15 \ - 6 & 10 \end{array} \right]$.

Multiply Matrices - A=[−1322],B=[−20−15]A = \left[ \begin{array} { r r } - 1 & 3 \\2 & 2\end{array} \right] , B = \left[ \begin{array} { l l } - 2 & 0 \\- 1 & 5\end{array} \right]A=[−12​32​],B=[−2−1​05​]

Multiply Matrices

- $A = \left[ \begin{array} { r r } - 1 & 3 \\2 & 2\end{array} \right] , B = \left[ \begin{array} { l l } - 2 & 0 \\- 1 & 5\end{array} \right]$