Find the eigenvalues A₁ < A2 and associated unit eigenvectors 1, 2 of the symmetric matrix -1 A = 43 -81 8 11 The smaller eigenvalue A₁ = -5 has associated unit eigenvector i 1 2 The larger eigenvalue 2 = 15 has associated unit eigenvector 2 = 1 1 2 Note: The eigenvectors above form an orthonormal eigenbasis for A.

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