Let T : R2 → P2 be a linear transformation, and let B= {u1 = [1 2] , u2 = [2 5] }be a basis for R2. if T(u1) = 2x+1 and T(u2) = x^2 +1, find T([a b]) in terms of a and b.

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A: here we have to find the coordinate vector of x

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