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    Linear operators proof

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    Let V be a two-dimensional vector space over the field F, and let be an ordered
    basis for V. If is a linear operator and then prove that
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    © BrainMass Inc. brainmass.com October 9, 2019, 5:47 pm ad1c9bdddf
    https://brainmass.com/math/discrete-math/linear-operators-proof-67667

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    ........(1)

    Here zero operator and identity operator will have the same matrix with respect to any basis namely the zero matrix and identity matrix ,therefore we need to check the equality with respect to basis = M

    M^2= * =

    ...

    Solution Summary

    This is a proof regarding linear operators and two-dimensional vector space.

    $2.19