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If ,A=[[3 ,2],[ 7, 5]] and B=[[6 ,7], [8...

If ,`A=[[3 ,2],[ 7, 5]]` and `B=[[6 ,7], [8, 9]]` , verify that `(A B)^(-1)=B^(-1)A^(-1)` .

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To verify that \((AB)^{-1} = B^{-1}A^{-1}\) for the matrices \(A\) and \(B\) given as: \[ A = \begin{pmatrix} 3 & 2 \\ 7 & 5 \end{pmatrix}, \quad B = \begin{pmatrix} 6 & 7 \\ 8 & 9 \end{pmatrix} \] we will follow these steps: ...
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