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

`A={:[(1,2,1),(3,1,4)]:},B={:[(1,-1),(2,3),(-1,1)]:}`, verify (AB)'=B'A'

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To verify that \((AB)' = B'A'\), we will follow these steps: ### Step 1: Define the matrices A and B Given: \[ A = \begin{pmatrix} 1 & 2 & 1 \\ 3 & 1 & 4 \end{pmatrix}, \quad B = \begin{pmatrix} 1 & -1 \\ 2 & 3 \\ -1 & 1 \end{pmatrix} \] ...
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