-1 0 (c) Consider the matrix A = 1 1 0 - It is given that |A — \I| = −λ(λ — 2)² . - 0 0 You do not need to prove this step. Use it to find two eigenvectors of A which are orthogonal. a+b 9. Let Aab = b -5 -3a2b-a² (a) Find values of a and b for which this matrix is symmetric. (b) For a = b = 0, find all eigenvalues of the matrix A00 = 00 0 -50 3 T 0 .

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Q: Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. - 1 2 0…

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Q: +i) is unitary and find A. Prove that the matrix A =

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