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    Matrix Representation: Linear Transformation

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    Let T be a linear operator on P_3 defined as follows:
    T(ax^3 + bx^2 + cx + d) = (a - b)x^2 + (c - d)x + (a + b - c).
    Write the matrix [T]_G which represents T with respect to the basis G which = {1 + x, 1 - x, 1 - x^2, 1 - x^3}. Show work.

    © BrainMass Inc. brainmass.com October 9, 2019, 3:46 pm ad1c9bdddf
    https://brainmass.com/math/linear-transformation/12940

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    Solution Summary

    A matrix is represented with respect to a basis. The solution is detailed and well presented.

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