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Given the Matrices AA And BB , Find the Matrix Product ABA B

Question 92

Multiple Choice

Given the matrices AA and BB , find the matrix product ABA B .
- A=[1003],B=[521212]\mathrm{A}=\left[\begin{array}{ll}1 & 0 \\ 0 & 3\end{array}\right], \mathrm{B}=\left[\begin{array}{rrr}5 & 2 & -1 \\ 2 & -1 & 2\end{array}\right] Find AB\mathrm{AB} .


A) AB\mathrm{AB} is not defined.
B) [521636]\left[\begin{array}{lll}5 & 2 & -1 \\ 6 & -3 & 6\end{array}\right]
C) [636521]\left[\begin{array}{lll}6 & -3 & 6 \\ 5 & 2 & -1\end{array}\right]
D) [500036]\left[\begin{array}{lll}5 & 0 & 0 \\ 0 & -3 & 6\end{array}\right]

Correct Answer:

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