The 3 3 symmetric matrix A has eigenvalues 6, 3 and 2. The eigenvectors corresponding to

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The 3 × 3 symmetric matrix A has eigenvalues 6, 3 and 2. The eigenvectors corresponding to the eigenvalues 6 and 3 are [1 1 2]T and [1 1 –1]T respectively. Find an eigenvector corresponding to the eigenvalue 2.

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