W is a rele that A linear transformation T from a vector space V into a...

W is a rele that A linear transformation T from a vector space V into a vector space assigns to each vector 2 in V a unique vector T() in W. such that (1) Tutu = Tu+Tv for all uv in V, and (2) Tſcu)=cT(u) for all u in V and all scalar c. *** The kernel of T = {UE V , T(U)=0} The range of T = {T(U) EW , ue V } Define T :P, - R K by T(m) = PO by 1 p = 0(1) a. Show that I is a linear transformation. b. Find The kernel of T and the range of T.

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