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    Eigenvalues and Eigenvectors

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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 :
    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.

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    Solution Summary

    Eigenvalues and Eigenvectors are investigated.