1 2 1 2 -1 Let C = 1 4 Find all eigenvalues and a maximal set T of linearly independent eigenectors for C. Is C diagonalizable? If not, explain why, and if so, find a matrix P such that P-\CP is diagonal and verify that it is.

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A: See proof below

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A: Diagonal matrix: A matrix whose non diagonal entries are zero. aij=0i≠jci=j

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