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    Proof involving eigenvalues and eigenvectors

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    If x is an eigenvector of the nxn matrix A, prove that bx is also an eigenvector.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:15 pm ad1c9bdddf
    https://brainmass.com/math/linear-algebra/proof-involving-eigenvalues-eigenvectors-10047

    Solution Preview

    Since x is an eigenvector of the nxn matrix A, we know that Ax=lamda*x.

    Now consider multiplying both left sides by the scalar b. This yields ...

    Solution Summary

    A step-by-step solution which shows that if x is an eigenvector of an nxn matrix, then bx is also an eigenvector. Word attachment included.

    $2.19

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