Question: -. Suppose a 2 2 matrix A satisfies 49-2 A = and A 48 - 2 a a for some a R. (a) Determine

-. Suppose a 2 2 matrix A satisfies 49-2 A = and

-. Suppose a 2 2 matrix A satisfies 49-2 A = and A 48 - 2 a a for some a R. (a) Determine an invertible matrix P which diagonalises A, and the corresponding diagonal matrix D. (b) Use the diagonalisation from (a) to calculate 45 (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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