-1 3 3 -1 0 0 0 0 3 Find the eigenvalues and an orthonormal basis for each eigenspace. A₁ = -4 The matrix M = = 0 0 0 0 -1 3 has two distinct eigenvalues λι < λ Orthonormal basis of eigenspace: [1,1,0,0], [0,0,1,1] A₂ = 2₁ A2 Orthonormal basis of eigenspace: [-1,1,0,0], [0,0,-1,1]

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