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    Ordered basis proof

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    We have seen that the linear operator defined by is represented in the standard ordered basis by the matrix . This operator satisfies . Prove that if S is a linear operator on such that , then S = 0 or S = I, or these is an ordered basis for such that , A as defined above.

    Hint: What are the possible values of

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    https://brainmass.com/math/discrete-math/ordered-basis-proof-67700

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    We have seen that the linear operator defined by is represented in the standard ordered basis by the matrix . This operator satisfies . Prove that if S is a linear ...

    Solution Summary

    This is a proof regarding linear operators and the ordered basis.

    $2.19