Let T: R[x](adsbygoogle = window.adsbygoogle || []).push({}); _{2}[tex]\rightarrow[/tex] R[x]_{3}be defined by T(P(x))=xP(x). Compute the matrix of x with respect to bases {1,x,x^{2}} and {1,x,x^{2},x^{3}}. Find the kernel and image of T.

I know how to do this when given bases without exponents, however I do not know exactly what this is saying and therefore am having a hard time starting it.

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# Computing Matrix, finding kernel and image

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