# 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

-.57735

.57735

Eigenvalue of multiplicity 2 : 1

Associated two linearly independent eigenvectors: **I need help finding these last two linearly independent eigenvectors***

https://brainmass.com/math/linear-algebra/eigenvectors-linear-independence-29958

#### Solution Summary

Linearly independent eigenvectors are found.

$2.49