If A = bmatrix 1 & 0 & 1 0 & 1 & -1 0 & 0 & 2 bmatrix , then show that A^2 - 3A + 2I = O…
Mathematics · Class 12 · CBSE — Determinants
If \(A = \begin{bmatrix} 1 & 0 & 1 \\ 0 & 1 & -1 \\ 0 & 0 & 2 \end{bmatrix}\), then show that \(A^2 - 3A + 2I = O\). Hence, find \(A^{-1}\).
Answer
A^ -1 = bmatrix 1 & 0 & -1/2 0 & 1 & 1/2 0 & 0 & 1/2 bmatrix
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