Find the eigenvalues λ₁ < λ₂ < 3 and associated unit eigenvectors ₁, 2, 3 of the symmetric matrix 0 -3 0 -3 -3 The eigen

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Find the eigenvalues λ₁ < λ₂ < 3 and associated unit eigenvectors ₁, 2, 3 of the symmetric matrix 0 -3 0 -3 -3 The eigenvalue X₁ = The eigenvalue X3 The eigenvalue X₂ = 0 has associated unit eigenvector ū₂ = -3 has associated unit eigenvector ₁ = = 6 has associated unit eigenvector ū3 = 0 3-3-3- F عالم √5 Note: The eigenvectors above form an orthonormal eigenbasis for A. A = 0 0 -3 co do 3