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Find the eigenvalues λ1<λ2 and associated unit eigenvectors u⃗ 1,u⃗ 2 of the symmetric matrix A=[48816]. The smaller eigenvalue λ1= 0 has associated unit eigenvector u⃗ 1= ⎡⎣⎢⎢ 1 -0.5 ⎤⎦⎥⎥. The larger eigenvalue λ2= 20 has associated unit eigenvector u⃗ 2= ⎡⎣⎢⎢ 1 2 ⎤⎦⎥⎥. Note: The eigenvectors above form an orthonormal eigenbasis for A.
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Find the eigenvalues λ1<λ2 and associated unit eigenvectors u⃗ 1,u⃗ 2 of the symmetric matrix A=[...
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