Multiply Matrices

-$$A = \left[ \begin{array} { r r r }
1 & 3 & - 1 \
2 & 0 & 3
\end{array} \right] , B = \left[ \begin{array} { r r }
3 & 0 \
- 1 & 1 \
0 & 3
\end{array} \right]$$
A)
$\left[ \begin{array} { l l } 0 & 0 \ 6 & 9 \end{array} \right]$
B) $A B$ is not defined.
C)
$\left[ \begin{array} { r r r } 3 & - 3 & 0 \ 0 & 0 & 9 \end{array} \right]$
D)
$\left[ \begin{array} { l l } 0 & 0 \ 9 & 6 \end{array} \right]$

Question

Multiply Matrices

-$$A = \left[ \begin{array} { r r r } 
1 & 3 & - 1 \
2 & 0 & 3
\end{array} \right] , B = \left[ \begin{array} { r r } 
3 & 0 \
- 1 & 1 \
0 & 3
\end{array} \right]$$
A)
$\left[ \begin{array} { l l } 0 & 0 \ 6 & 9 \end{array} \right]$
B) $A B$ is not defined.
C)
$\left[ \begin{array} { r r r } 3 & - 3 & 0 \ 0 & 0 & 9 \end{array} \right]$
D)
$\left[ \begin{array} { l l } 0 & 0 \ 9 & 6 \end{array} \right]$

Quizplus · Accepted Answer

Matrix multiplication is defined as the dot product of rows of the first matrix with columns of the second matrix. For the given matrices A and B, the multiplication AB results in a 2x2 matrix where each element is computed as follows:- The element in the first row, first column: (1*3) + (3*(-1)) + (-1*0) = 3 - 3 + 0 = 0- The element in the first row, second column: (1*0) + (3*1) + (-1*3) = 0 + 3 - 3 = 0- The element in the second row, first column: (2*3) + (0*(-1)) + (3*0) = 6 + 0 + 0 = 6- The element in the second row, second column: (2*0) + (0*1) + (3*3) = 0 + 0 + 9 = 9Therefore, the product AB is $\left[ \begin{array} { l l } 0 & 0 \ 6 & 9 \end{array} \right]$.

Multiply Matrices - A) [0069]\left[ \begin{array} { l l } 0 & 0 \\ 6 & 9 \end{array} \right][06​09​]

Multiply Matrices

- A) $\left[ \begin{array} { l l } 0 & 0 \\ 6 & 9 \end{array} \right]$