Question: Q1. (10 points) Let T : R3 - R4 be a linear map such that: T(1, 0,0) = (1,0, 1,0) T(1, 1, 0) = (0,

Q1. (10 points) Let T : R3 - R4 be a linear map such that: T(1, 0,0) = (1,0, 1,0) T(1, 1, 0) = (0, 1, 0, 1) T(1, 1, 1) = (1, 1, 1, 1). (a) (2 points) Write a 4 x 3 matrix A for so that T = TA. (b) (4 points) Find a basis of image(T). (c) (4 points) Find a basis of null(T)

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