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    Vectors and Characterisitic Values of a Matrix

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    Determine the characteristic values of the given matrix and find the corresponding vectors:
    [ 1 -2 ]
    [ 2 -3 ]

    © BrainMass Inc. brainmass.com February 24, 2021, 2:21 pm ad1c9bdddf
    https://brainmass.com/math/matrices/vectors-characteristic-values-matrix-16070

    Solution Preview

    We need to make Determinant [1-L,-2;2,-3-L]=0 to find characteristic values.
    => (1-L)(-3-L)+4=0
    => -3-L+3L+L^2+4=0
    => L^2+2L+1=0
    => (L+1)(L+1)=0
    Characteristic Values are ...

    Solution Summary

    In about 95 words, this solution determines the characteristic values of a matrix and the corresponding vectors are found. All work is shown.

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