Solve the problem.
-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 \\ - 1 & 0 & 0 \\ 0 & 2 & 0 \end{array} \right] ; \mathrm { BA } = \left[ \begin{array} { c r c } 0 & 2 & 1 \\ 0 & - 1 & - 1 \\ 0 & 0 & - 1 \end{array} \right]

B)

\mathrm { AB } = \left[ \begin{array} { r r r } 0 & - 1 & 0 \\ - 1 & 2 & 0 \\ 0 & 2 & 0 \end{array} \right] ; \mathrm { BA } = \left[ \begin{array} { l l l } 0 & 0 & - 1 \\ 0 & 1 & 1 \\ 0 & 2 & 1 \end{array} \right]

C)

\mathrm { AB } = \left[ \begin{array} { l l l } 0 & 1 & 0 \\ 0 & 1 & 0 \\ 1 & 0 & 0 \end{array} \right] ; \mathrm { BA } = \left[ \begin{array} { l l l } 0 & 1 & 0 \\ 0 & 1 & 0 \\ 1 & 0 & 0 \end{array} \right]

D)

\mathrm { AB } = \left[ \begin{array} { l l l } 0 & 0 & - 1 \\ 0 & 1 & 1 \\ 0 & 2 & 1 \end{array} \right] ; \mathrm { BA } = \left[ \begin{array} { r r r } 0 & - 1 & 0 \\ - 1 & 2 & 0 \\ 0 & 2 & 0 \end{array} \right]

Use Cramerʹs Rule to Solve the System of Equations 9x+6y=−6−5x+3y=−3\begin{array} { l } 9 x + 6 y = - 6 \\- 5 x + 3 y = - 3\end{array}9x+6y=−6−5x+3y=−3​

Multiple Choice