Question: 4. Diagonalise the matrix 1 1 0 A = = 10 1 0 1 1 Explain why all eigenvalues are real. Can this matrix

4. Diagonalise the matrix 1 1 0 A = = 10 1 0 1 1 Explain why all eigenvalues are real. Can this matrix be orthogonally diagonalised and why? If so find this orthogonal diagonalisation. Find A10.

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