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Eigenvectors : Linear Independence

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The matrix A = 1 1 0
0 0 0
0 1 1

has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2.
Find the eigenvalues and the eigenvectors.

Eigenvalue of multiplicity 1 : 0
Associated Eigenvector: .57735

Eigenvalue of multiplicity 2 : 1
Associated two linearly independent eigenvectors: **I need help finding these last two linearly independent eigenvectors***

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Solution Summary

Linearly independent eigenvectors are found.

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