Q34Comprehension1 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 kernel of TTT?A{(1,1,1)}\{(1,1,1)\}{(1,1,1)}Bspan{(1,1,1)}\operatorname{span}\{(1,1,1)\}span{(1,1,1)}C{(a,a,a):a∈R}\{(a,a,a):a\in\mathbb{R}\}{(a,a,a):a∈R}D{(1,0),(0,1)}\{(1,0),(0,1)\}{(1,0),(0,1)}E{(1,0,0),(0,1,0)}\{(1,0,0),(0,1,0)\}{(1,0,0),(0,1,0)}
