Hi. I attached the problem and my work. I'm not sure if I did part a) right. In the past problems I've done, they usually provide you with 3 vectors that are linearly independent, thus giving you unique values for C1, C2, C3. The matrix for this one forms: 1 1 1 0 1 3 0 0 0 Which is obviously linearly dependent. In my work I solved it and C3 ended up canceling out. Does the free variable always cancel out when solving for T(vector) if the matrix above is linearly dependent? For part b) I said no, because if the 3rd element (element in 3rd row) in T(v) is nonzero, then the system is inconsistent.