Inverses and determinants for n×n matrices
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Use your calculator for \( A = \begin{bmatrix} 1 & -1 & 2 \\ -1 & 2 & 1 \\ 2 & 1 & -1 \end{bmatrix} \)
to find:
i) \(\operatorname{det} A\)
ii) \(A^{-1}\)
i) \(14\)
ii) \(\dfrac{1}{14}\left[\begin{array}{ccc}3 & -1 & 5 \\ -1 & 5 & 3 \\ 5 & 3 & -1\end{array}\right]\)
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