14. Let v1=(1,2)T,v2=(2,3)T and let S=[3152]. Find vectors w1 and w2 so that S is the transition matrix from {w1,w2} to {v1,v2} (a) w1=(1,5)T and w2=(9,4)T (b) w1=(5,1)T and w2=(9,4)T (c) w1=(5,9)T and w2=(1,4)T (d) w1=(1,0)T and w2=(0,1)T 15. If p(x)=3x2+x+2, then the coordinate vector of p(x) with respect to F={1,1+x,1+x+x2) of P3 is (a) (2,1,2)T (b) (1,2,3)T (c) (2,1,2)T (d) (3,2,1)T