Given that: P, 1+2r + , P, = 2+9r, p, = 3+3r+ 4r, and p =...

 

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Given that: P, 1+2r + , P, = 2+9r, p, = 3+3r+ 4r, and p = 2+ 17r – 3r? Then: (i) show that the set S = {p,P, P.} is a basis for P2, and (ii) find the coordinate vector of p relative to S. Given that: P, 1+2r + , P, = 2+9r, p, = 3+3r+ 4r, and p = 2+ 17r – 3r? Then: (i) show that the set S = {p,P, P.} is a basis for P2, and (ii) find the coordinate vector of p relative to S.