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Find the Matrix Product When Possible A=[2332]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=[2332]A = \left[ \begin{array} { l l } 2 & - 3 \\ 3 & - 2 \end{array} \right] and B=[0123]B = \left[ \begin{array} { r r } 0 & - 1 \\ - 2 & 3 \end{array} \right] , find ABA B and BAB A


A)
AB=[3250];BA=[61149]\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)
AB=[0366];BA=[0366]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)
AB=[6743];BA=[321312]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)

AB=[61149];BA=[3250]\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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