Find the matrix product when possible.
-Given $A = \left[ \begin{array} { r r r } 0 & - 1 & 0 \ 0 & 1 & 1 \ - 1 & 0 & - 1 \end{array} \right]$ and $B = \left[ \begin{array} { r r r } - 1 & 1 & 0 \ 0 & - 1 & 0 \ 1 & 1 & 0 \end{array} \right]$, find $A B$ and $B A$.
A)
$\mathrm { AB } = \left[ \begin{array} { r r r } 0 & - 1 & 0 \ 0 & - 1 & 0 \ - 1 & 0 & 0 \end{array} \right] ; \mathrm { BA } = \left[ \begin{array} { r r r } 0 & - 1 & 0 \ 0 & - 1 & 0 \ - 1 & 0 & 0 \end{array} \right]$
B)
$\mathrm { AB } = \left[ \begin{array} { c c c } 0 & 2 & 1 \ 0 & - 1 & - 1 \ 0 & 0 & 1 \end{array} \right] ; \mathrm { BA } = \left[ \begin{array} { c c c } 0 & 1 & 0 \ 1 & 0 & 0 \ 0 & - 2 & 0 \end{array} \right]$
C)
$A B = \left[ \begin{array} { r r r } 0 & - 1 & 0 \ 1 & 2 & 0 \ 0 & - 2 & 0 \end{array} \right] ; B A = \left[ \begin{array} { c c c } 0 & 0 & - 1 \ 0 & 1 & 1 \ 0 & - 2 & - 1 \end{array} \right]$
D)
$\mathrm { AB } = \left[ \begin{array} { r r r } 0 & 1 & 0 \ 1 & 0 & 0 \ 0 & - 2 & 0 \end{array} \right] ; \mathrm { BA } = \left[ \begin{array} { c c c } 0 & 2 & 1 \ 0 & - 1 & - 1 \ 0 & 0 & 1 \end{array} \right]$

Question

Quizplus · Accepted Answer

The Answer of Find the matrix product when possible.
-Given $A = \left[ \begin{array} { r r r } 0 & - 1 & 0 \ 0 & 1 & 1 \ - 1 & 0 & - 1 \end{array} \right]$ and $B = \left[ \begin{array} { r r r } - 1 & 1 & 0 \ 0 & - 1 & 0 \ 1 & 1 & 0 \end{array} \right]$, find $A B$ and $B A$.
A)
$\mathrm { AB } = \left[ \begin{array} { r r r } 0 & - 1 & 0 \ 0 & - 1 & 0 \ - 1 & 0 & 0 \end{array} \right] ; \mathrm { BA } = \left[ \begin{array} { r r r } 0 & - 1 & 0 \ 0 & - 1 & 0 \ - 1 & 0 & 0 \end{array} \right]$
B)
$\mathrm { AB } = \left[ \begin{array} { c c c } 0 & 2 & 1 \ 0 & - 1 & - 1 \ 0 & 0 & 1 \end{array} \right] ; \mathrm { BA } = \left[ \begin{array} { c c c } 0 & 1 & 0 \ 1 & 0 & 0 \ 0 & - 2 & 0 \end{array} \right]$
C)
$A B = \left[ \begin{array} { r r r } 0 & - 1 & 0 \ 1 & 2 & 0 \ 0 & - 2 & 0 \end{array} \right] ; B A = \left[ \begin{array} { c c c } 0 & 0 & - 1 \ 0 & 1 & 1 \ 0 & - 2 & - 1 \end{array} \right]$
D)
$\mathrm { AB } = \left[ \begin{array} { r r r } 0 & 1 & 0 \ 1 & 0 & 0 \ 0 & - 2 & 0 \end{array} \right] ; \mathrm { BA } = \left[ \begin{array} { c c c } 0 & 2 & 1 \ 0 & - 1 & - 1 \ 0 & 0 & 1 \end{array} \right]$

Find the Matrix Product When Possible A=[0−10011−10−1]A = \left[ \begin{array} { r r r } 0 & - 1 & 0 \\ 0 & 1 & 1 \\ - 1 & 0 & - 1 \end{array} \right]A=​00−1​−110​01−1​​

Find the Matrix Product When Possible $A = \left[ \begin{array} { r r r } 0 & - 1 & 0 \\ 0 & 1 & 1 \\ - 1 & 0 & - 1 \end{array} \right]$