For the matrix ![A=\left[\begin{array}{ccc}1&1&1\\1&2&-3\\2&-1&3\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26amp%3B1%26amp%3B1%5C%5C1%26amp%3B2%26amp%3B-3%5C%5C2%26amp%3B-1%26amp%3B3%5Cend%7Barray%7D%5Cright%5D "A=\left[\begin{array}{ccc}1&1&1\\1&2&-3\\2&-1&3\end{array}\right]")
Show that A³– 6A² + 5A + 11 I = O. Hence, find A–1.
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