If ![A = \left[\begin{array}{ccc} 1 & 0 & 2 \\ 0 & 1 & 3 \\ 1 & -1 & 0 \\\end{array}\right]](https://tex.z-dn.net/?f=A+%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D+1+%26amp%3B+0+%26amp%3B+2+%5C%5C+0+%26amp%3B+1+%26amp%3B+3+%5C%5C+1+%26amp%3B+-1+%26amp%3B+0+%5C%5C%5Cend%7Barray%7D%5Cright%5D "A = \left[\begin{array}{ccc} 1 & 0 & 2 \\ 0 & 1 & 3 \\ 1 & -1 & 0 \\\end{array}\right]")
, prove that A3 – 6A2 + 7A + 2I = 0
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tex]A = \left[\begin{array}{ccc} 1 & 0 & 2 \\ 0 & 1 & 3 \\ 1 & -1 & 0 \\\end{array}\right][/tex], prove that A3 – 6A2 + 7A + 2I = 0
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