Question: Define T P2 P by T p p 0 p 10 t p 11 t a Show that T is a linear transformation b Find

Define T P2 P by T p p 0 p 10

Define T P2 P by T p p 0 p 10 t p 11 t a Show that T is a linear transformation b Find T p when p t 11 t Is p an eigenvector of T c Find the matrix for T relative to the basis 1 tt for P a Let u t and v t be polynomials in P2 Complete the following explanation T u v Evaluate T u v

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