Question: Let T : R 3 R 3 be the linear map defined by T(a, b, c) = (ab, 2a+c, a+b+c). Decide whether the following vectors

Let T : R 3 R 3 be the linear map defined by T(a, b, c) = (ab, 2a+c, a+b+c). Decide whether the following vectors lie in R(T), showing all your work: (i) (2,-1,-3) (ii) (1,2,3). How about T : R 3 R 3 being the linear map defined by T(a, b, c) = (a, a + b, a + b + c)?

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