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Find the matrix of the linear transformation T with respect to the bases given: a) T: M (R) P2 (R), defined via T (a

   

Find the matrix of the linear transformation T with respect to the bases given: a) T: M (R) P2 (R), defined via T (a b) = a + (b + c)x+ dx, with respect to the basis CD (CDG) of M (R) and the basis {x, 1+x, x} of P(R). b) T: P(R) P4(R) defined via T(p)(x) = xp(x) + xp'(x), with respect to the basis {3,2x, 1+x+x} of P(R) and the basis {1, x, x, x, x4} of P (R). (17). * = {( ) ( ) ( ) ( ))} c) T: M (R) M (R) defined by T(C) = BC, where B = basis in both the domain and codomain. with respect to the

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