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Linear AlgebraEasyLinear Transformations

Linear Transformations · Easy problem

Let T:P2→P2T:P_2\to P_2 be the linear map T(p)=p′(x)+p(0)T(p) = p'(x) + p(0), where P2P_2 is the space of polynomials of degree at most 22 and p(0)p(0) is added as a constant. Let q=T(x2+4x+7)q = T(x^2 + 4x + 7). Find q(2)q(2).