B=(x[sup]2[/sup]+x, x[sup]2[/sup]-2, x[sup]2[/sup]+2x-1) is a subset of the vector space P2 of polynomials of degree no larger than two,T(x[sup]2[/sup]+x) =(1,-2) T(x[sup]2[/sup]-2) = (4,1)& & T(x[sup]2[/sup]+2x-1) = (2,-1)what is matrix representation for T with respect to the bases B for P2 and S=(1,0)(0,1) for R[sup]2[/sup]?
With T given as in the above question, calculate T(7x[sup]2[/sup]+3x-2).
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