Question: 1 Let E M2(IR) (a) Determine all the eigenvalues of A. (b) For each eigenvalue A of A, find the set of eigenvectors corresponding to

1 Let E M2(IR) (a) Determine all the eigenvalues of A. (b) For each eigenvalue A of A, find the set of eigenvectors corresponding to A. If possible, find a basis for R2 consisting of eigenvectors of A. (c) If successful in finding such a basis, determine an invertible matrix Q and a diagonal matrix D such that Q-'AQ = D

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