Perform the matrix multiplication.
-Let $A = \left[ \begin{array} { r r r } - 2 & - 9 & - 8 \ 6 & - 9 & - 1 \end{array} \right]$ and $B = \left[ \begin{array} { r r r } 6 & - 4 & - 5 \ 8 & - 4 & - 3 \ - 3 & - 7 & 3 \end{array} \right]$. Find $A B$.
A) $\left[ \begin{array} { r r } - 60 & - 33 \ 100 & 19 \ 13 & - 6 \end{array} \right]$

B) $\left[ \begin{array} { r r r } - 12 & 36 & 40 \ 48 & 36 & 3 \ - 18 & 63 & - 3 \end{array} \right]$

C) $\left[ \begin{array} { r r r } - 2 & - 9 & - 8 \ 6 & - 9 & - 1 \ 6 & - 9 & - 1 \ 8 & - 4 & - 3 \ - 3 & - 3 & 3 \end{array} \right]$

D) $\left[ \begin{array} { r r r } - 60 & 100 & 13 \ - 33 & 19 & - 6 \end{array} \right]$

Question

Perform the matrix multiplication.
-Let $A = \left[ \begin{array} { r r r } - 2 & - 9 & - 8 \ 6 & - 9 & - 1 \end{array} \right]$ and $B = \left[ \begin{array} { r r r } 6 & - 4 & - 5 \ 8 & - 4 & - 3 \ - 3 & - 7 & 3 \end{array} \right]$. Find $A B$.
A) $\left[ \begin{array} { r r } - 60 & - 33 \ 100 & 19 \ 13 & - 6 \end{array} \right]$

B) $\left[ \begin{array} { r r r } - 12 & 36 & 40 \ 48 & 36 & 3 \ - 18 & 63 & - 3 \end{array} \right]$

C) $\left[ \begin{array} { r r r } - 2 & - 9 & - 8 \ 6 & - 9 & - 1 \ 6 & - 9 & - 1 \ 8 & - 4 & - 3 \ - 3 & - 3 & 3 \end{array} \right]$

D) $\left[ \begin{array} { r r r } - 60 & 100 & 13 \ - 33 & 19 & - 6 \end{array} \right]$

Quizplus · Accepted Answer

The correct matrix multiplication result is given by option D, which follows the rules of matrix multiplication, where each element of the resulting matrix is the dot product of the rows of the first matrix with the columns of the second matrix.

Perform the Matrix Multiplication A=[−2−9−86−9−1]A = \left[ \begin{array} { r r r } - 2 & - 9 & - 8 \\ 6 & - 9 & - 1 \end{array} \right]A=[−26​−9−9​−8−1​]

Perform the Matrix Multiplication $A = \left[ \begin{array} { r r r } - 2 & - 9 & - 8 \\ 6 & - 9 & - 1 \end{array} \right]$