08. In a three-dimensional vector space, consider the operator whose matrix, in an orthonormal basis {11 >, 12 >,13 >}, is A = (0 -1 0) \1 0 (a) Is A Hermitian? Calculate its eigenvalues and the corresponding normalized eigenvectors. Verify that the eigenvectors corresponding to the two nondegenerate eigenvalues are orthonormal. (b) Calculate the matrices representing the projection operators for the two nondegenerate eigenvectors found in part (a).

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