Cayley-Hamilton and characteristic equation

Questions involving the characteristic equation of a matrix and using the Cayley-Hamilton theorem to find matrix expressions.

1 questions · Challenging +1.2

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OCR MEI Further Extra Pure 2019 June Q3

8 marks Challenging +1.2

The matrix A is \(\begin{pmatrix} -1 & 2 & 4 \\ 0 & -1 & -25 \\ -3 & 5 & -1 \end{pmatrix}\). Use the Cayley-Hamilton theorem to find A\(^{-1}\). [8]