2. Prove Cayley-Hamilton Theorem for a diagonalizable matrix, A: Let A be diagonalizable and p(x) be its characteristic polynomial; i.e. p(A) = 0 for A, eigen- value of A. Show that p(A) = 0.

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A: Dear students as per our guidelines we can solve only first 3 questions. So kindly resubmit…

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