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## Homework Statement

Let T:R[x]2->R[x]3 be defined by T(P(x))=xP(x). Compute the matrix of T with respect to bases {1,x,x^2} and {1,x,x^2,x^3}. Find the kernel and image of T.

## The Attempt at a Solution

I genuinely have no idea where to start on this, any pointers you can give me would be greatly appreciated.