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Find the Matrix Product When Possible A=[2−33−2]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=[2−33−2]A = \left[ \begin{array} { l l } 2 & - 3 \\ 3 & - 2 \end{array} \right] and B=[0−1−23]B = \left[ \begin{array} { r r } 0 & - 1 \\ - 2 & 3 \end{array} \right] , find ABA B and BAB A


A)
AB=[−3250];BA=[6−114−9]\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=[03−6−6];BA=[03−6−6]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=[−67−43];BA=[3−2−1312]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=[6−114−9];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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