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    Linear Algebra: Matrix of Transformation

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    Are the following examples linear transformations from p3 to p4? If yes, compute the matrix of transformation in the standard basis of P3 {1,x,x^2} and P4 {1,x,x^2,x^3}.

    (a) L(p(x))=x^3*p''(x)+x^2p'(x)-x*p(x)
    (b) L(p(x))=x^2*p''(x)+p(x)p''(x)
    (c) L(p(x))=x^3*p(1)+x*p(0)

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    Solution Summary

    Linear transformations of matrices are investigated.

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