Using the Cayley-Hamilton theorem
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See attached file for the matrix.
(a) Calculate the characteristic polynomial Pa(t). Is a diagonalisable?
(b) State the Cayley-Hamilton theorem for a square matrix a.
(c) Using the Cayley-Hamilton theorem, compute a^5 with no more than one explitic matrix multiplication.
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Solution Summary
The problem requires to compute a power of a given matrix using Cayley-Hamilton theorem.
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