Q35Comprehension1 Mark24 Mar 2024PassageBased on the above data, answer the given subquestions. Let T:R3→R3T:\mathbb{R}^3\to\mathbb{R}^3T:R3→R3 be a linear transformation given by T(x,y,z)=(x−y,y−z,z−x)T(x,y,z)=(x-y,y-z,z-x)T(x,y,z)=(x−y,y−z,z−x).Which of the following is a basis for the image of TTT?A{(1,0,−1),(−1,1,0)}\{(1,0,-1),(-1,1,0)\}{(1,0,−1),(−1,1,0)}B{(1,0,−1),(−1,1,0),(0,−1,1)}\{(1,0,-1),(-1,1,0),(0,-1,1)\}{(1,0,−1),(−1,1,0),(0,−1,1)}C{(1,0,0),(0,1,0),(0,0,1)}\{(1,0,0),(0,1,0),(0,0,1)\}{(1,0,0),(0,1,0),(0,0,1)}D{(1,0,0),(0,1,0)}\{(1,0,0),(0,1,0)\}{(1,0,0),(0,1,0)}
