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

Question 104

Multiple Choice

Given the matrices AA and BB , find the matrix product ABA B .
- A=[321043],B=[5021]\mathrm{A}=\left[\begin{array}{rrr}3 & -2 & 1 \\ 0 & 4 & -3\end{array}\right], \mathrm{B}=\left[\begin{array}{rr}5 & 0 \\ -2 & 1\end{array}\right] Find AB\mathrm{AB} .


A) [15105685]\left[\begin{array}{rrr}15 & -10 & 5 \\-6 & 8 & -5\end{array}\right]
B) ABA B is not defined.
C)
[15610855]\left[\begin{array}{rr}15 & -6 \\-10 & 8 \\5 & -5\end{array}\right]
D) [15004]\left[\begin{array}{rr}15 & 0 \\ 0 & 4\end{array}\right]

Correct Answer:

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