Find the Matrix Product When Possible $A = \left[ \begin{array} { l l } 2 & - 3 \\ 3 & - 2 \end{array} \right]$

question 416

Multiple Choice

Find the matrix product when possible.
-Given $A = \left[ \begin{array} { l l } 2 & - 3 \\ 3 & - 2 \end{array} \right]$ and $B = \left[ \begin{array} { r r } 0 & - 1 \\ - 2 & 3 \end{array} \right]$ , find $A B$ and $B A$

• A)
• \[\mathrm { AB } = \left[ \begin{array} { r r }
• - 3 & 2 \\
• 5 & 0
• \end{array} \right] ; \mathrm { BA } = \left[ \begin{array} { r r }
• 6 & - 11 \\
• 4 & - 9
• \end{array} \right]\]
• B)
• \[A B = \left[ \begin{array} { r r }
• 0 & 3 \\
• - 6 & - 6
• \end{array} \right] ; B A = \left[ \begin{array} { r r }
• 0 & 3 \\
• - 6 & - 6
• \end{array} \right]\]
• C)
• \[A B = \left[ \begin{array} { l l }
• - 6 & 7 \\
• - 4 & 3
• \end{array} \right] ; B A = \left[ \begin{array} { r r }
• 3 & - 2 \\
• - 13 & 12
• \end{array} \right]\]
• D)
• \[\mathrm { AB } = \left[ \begin{array} { r r }
• 6 & - 11 \\
• 4 & - 9
• \end{array} \right] ; \mathrm { BA } = \left[ \begin{array} { r r }
• - 3 & 2 \\
• 5 & 0
• \end{array} \right]\]

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