Compute AB, if possible.
-$A = \left[ \begin{array} { r r } 3 & - 2 \ 3 & 0 \end{array} \right]$ and $B = \left[ \begin{array} { r r } 0 & - 2 \ 3 & 6 \end{array} \right]$
A) $\left[ \begin{array} { r r } - 6 & - 18 \ 0 & - 6 \end{array} \right]$
B) $\left[ \begin{array} { r r } - 18 & - 6 \ - 6 & 0 \end{array} \right]$
C) not possible
D) $\left[ \begin{array} { r r } - 6 & 0 \ 27 & - 6 \end{array} \right]$

Question

Quizplus · Accepted Answer

Matrix multiplication is performed by taking the dot product of the rows of the first matrix with the columns of the second matrix. For AB, the result is $\left[ \begin{array} { r r } (3*0)+(-2*3) & (3*-2)+(-2*6) \ (3*0)+(0*3) & (3*-2)+(0*6) \end{array} \right] = \left[ \begin{array} { r r } -6 & -18 \ 0 & -6 \end{array} \right]$.

Compute AB, If Possible A=[3−230]A = \left[ \begin{array} { r r } 3 & - 2 \\ 3 & 0 \end{array} \right]A=[33​−20​]

Compute AB, If Possible $A = \left[ \begin{array} { r r } 3 & - 2 \\ 3 & 0 \end{array} \right]$