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Let A+2B={:[(3,2,-3),(1,0,4),(3,1,2)]:}a...

Let `A+2B={:[(3,2,-3),(1,0,4),(3,1,2)]:}and-A-B={:[(1,0,3),(-1,4,1),(3,2,1)]:}`. Find A and B.

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To solve the problem, we need to find the matrices \( A \) and \( B \) given the equations: 1. \( A + 2B = \begin{pmatrix} 3 & 2 & -3 \\ 1 & 0 & 4 \\ 3 & 1 & 2 \end{pmatrix} \) 2. \( -A - B = \begin{pmatrix} 1 & 0 & 3 \\ -1 & 4 & 1 \\ 3 & 2 & 1 \end{pmatrix} \) ### Step 1: Rewrite the second equation We can rewrite the second equation to express \( A \) in terms of \( B \): \[ ...
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