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Exercise 1. ( 3 A = 4 - 1 ) (1) Compute the eigenvalues of A and draw the eigenspaces of A in the xy plane. (2) Is the matrix A diagonalizable? Explain why. (3) Compute the angle between the eigenspaces of A. (4) Is it possible to find an orthonormal basis of eigenvectors of A? Explain the reason for your answer.

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