Multiply Matrices

-$A = \left[ \begin{array} { l l l } - 6 & 2 & 8 \end{array} \right] , B = \left[ \begin{array} { r } 7 \ 0 \ - 3 \end{array} \right]$
A) $[ - 66 ]$
B) $[ 330 ]$
C) $[ - 420 - 24 ]$
D)
$$\left[ \begin{array} { r }
- 42 \
0 \
- 24
\end{array} \right]$$

Question

Multiply Matrices

-$A = \left[ \begin{array} { l l l } - 6 & 2 & 8 \end{array} \right] , B = \left[ \begin{array} { r } 7 \ 0 \ - 3 \end{array} \right]$
A) $[ - 66 ]$
B) $[ 330 ]$
C) $[ - 420 - 24 ]$
D)
$$\left[ \begin{array} { r } 
- 42 \
0 \
- 24
\end{array} \right]$$

Quizplus · Accepted Answer

To multiply matrices $A$ and $B$, you perform the dot product of the row of $A$ with the column of $B$: $(-6 \times 7) + (2 \times 0) + (8 \times -3) = -42 + 0 - 24 = -66$, resulting in a 1x1 matrix $[ - 66 ]$.

Multiply Matrices - A=[−628],B=[70−3]A = \left[ \begin{array} { l l l } - 6 & 2 & 8 \end{array} \right] , B = \left[ \begin{array} { r } 7 \\ 0 \\ - 3 \end{array} \right]A=[−6​2​8​],B=​70−3​​

Multiply Matrices

- $A = \left[ \begin{array} { l l l } - 6 & 2 & 8 \end{array} \right] , B = \left[ \begin{array} { r } 7 \\ 0 \\ - 3 \end{array} \right]$