Solution for QID #66599: Find the best answer and explain why. 1. Consider the lin | StudyHelpMe

Find the best answer and explain why. 1. Consider the linear map T: R3 → R3 given by T(x, y, z) = (x−2y−2z,2x−6y−7z,−4x+10y+10z). Using the basis (5,4,−2),(0,1,−1), (1, 3/2, −1) for the domain and the standard basis for the codomain, the first row of the matrix for T is (a) (1,0,0) (b) (1,2,−4) (c) (5,4,−2) (d) (1,−2,−2) (e) (5,0,1) 2. Consider the linear map T: R3 → R3 given by T(x, y, z) = (x−2y−2z,2x−6y−7z,−4x+10y+10z). Using the standard basis for the domain and the standard basis for the codomain, the first row of the matrix for T is (a) (1,0,0) (b) (1,2,−4) (c) (5,4,−2) (d) (1,−2,−2) (e) (5,0,1)  3. Using the basis (x−1), (x−2) for P1(R), the matrix M(x−5) is (a) (9/2 ,−4 ) (b) (3, 2, 1) (c) (−3,4) (d) (1, 0,−1) (e) (8,−3)