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    Solving for Eigenvalues

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    A certain 4x4 real matrix is known to have these properties:
    1) Two of the eigenvalues of A are L1= 3 and L2= 2.
    2) The number 3 is an eigenvalue of the matrix A + 2I.
    3) det. A = 12.

    What are the other 2 eigenvalues of A and what is the characteristic polynomial of A, At, and A-1?

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    A certain 4x4 real matrix is known to have these properties:
    1) Two of the eigenvalues of A are L1= 3 and L2= 2.
    2) The number 3 is an eigenvalue of the matrix A + 2I.
    3) det. A = 12.

    What are the other 2 eigenvalues of A and what is the characteristic polynomial of A, At, and A-1?

    Solution. Assume that is the characteristic polynomial of A. By hypothesis, we know that 3 ...

    Solution Summary

    Eigenvalues are solved. The solution is detailed and well presented.

    $2.49

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