Find the eigenvalues A1 < A2 and associated unit eigenvectors ū1, ū2 of the symmetric matrix [3 A = 6. -13 1 The smaller eigenvalue A1 has associated unit eigenvector ủ1 = 1 The larger eigenvalue Ag = A has associated unit eigenvector ủ2 = Note: The eigenvectors above form an orthonormal eigenbasis for A.

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