Question: 1-1/3/2 6 Consider the matrix A = 0 3 -6 0 3 -6. a) Construct an orthonormal set of eigenvectors for the matrix. b)

1-1/3/2 6 Consider the matrix A = 0 3 -6 0 3

1-1/3/2 6 Consider the matrix A = 0 3 -6 0 3 -6. a) Construct an orthonormal set of eigenvectors for the matrix. b) Find the adjoint(A), det(A), tr(A) and rank of A. c) Determine the inverse of A.

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