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10 Nov 2019
Consider the map T: P_3 rightarrow P_3 given by T(p(x)) = p(3) + 2x middot p'(x), where p'(x) denotes the derivative of the polynomial p(x). Prove that T is a linear transformation. Find the matrix representation of T with respect to the standard basis of P_3.
Consider the map T: P_3 rightarrow P_3 given by T(p(x)) = p(3) + 2x middot p'(x), where p'(x) denotes the derivative of the polynomial p(x). Prove that T is a linear transformation. Find the matrix representation of T with respect to the standard basis of P_3.
Irving HeathcoteLv2
24 Apr 2019