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Q18Section A (Section A)18 of 60

Inverse expressed through Cayley-Hamilton

If P=[10102120−1]P=\begin{bmatrix}1&0&1\\0&2&1\\2&0&-1\end{bmatrix} and 6P−1=aI3+bP−P26P^{-1}=aI_3+bP-P^2, then the ordered pair (a,b)(a,b) is

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