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3. Orthogonally diagonalise the matrices 5 2 a) A = 4 5 2 , given that 1 is an eigenvalue; 2 0 -1 2 b)

3. Orthogonally diagonalise the matrices 5 2 a) A = 4 5 2 , given that 1 is an eigenvalue; 2 0 -1 2 b) B = -1 0 -2 , given that -1 is an eigenvalue; 2 -2 3 2 c) C= -2 ONN 8 1 -1 d) E = -1 1 -1 0 -1 1

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