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Eigenvalues and Eigenvectors

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 :
Associated Eigenvector:

Eigenvalue of multiplicity 2 :
Associated two linearly independent eigenvectors:

If you have a floating point number ending in e-16 or some such thing, treat this as zero. All entries in your matrix should be integers.


Solution Summary

Eigenvalues and Eigenvectors are investigated.