Question: 1. Diagonalize the matrix 0 10 01 M = 0 0 10 0 0 0 0 0 and find an orthonormal set of eigenvectors for

1. Diagonalize the matrix 0 10 01 M = 0 0 10 0 0 0 0 0 and find an orthonormal set of eigenvectors for M. 2. Verify that the matrices A = /2 and B = 3 /2 0 V2 V2 commute. The eigenvalues of A are -2, 2 and 2, and the eigenvalues of B are 0. 4 and 4. Find a set of three orthonormal eigenvectors that simultaneously diagonalizes both matrices

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