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  3. suppose a 2 2 matrix a satisfies and for some a er

Suppose a 2 2 matrix A satisfies and for some a ER 44 4 A...

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Algebra

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Suppose a 2 2 matrix A satisfies and for some a ER 44 4 A a 40 4 A a a Determine an invertible matrix P which diagonalises A and the corresponding diagonal matrix D b Use the diagonalisation from a to calculate A5 Of course this can be done in other ways so your answer must clearly show how you have used the diagonalisation you should not need to find an expression for A

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