Let A: ℝ³ → ℝ³ be defined by the matrix A=[[1,1,-1],[2,0,1],[1,1,0]]. If β={[[1],[1],[1]],[[1],[0],[1]],[[1],[1],[2]]} is an ordered basis for ℝ³, determine [L(A)](β).
a) [[1,1,1],[0,1,1],[1,2,2]]
b) [[1,1,1],[2,1,1],[-1,0,1]]
c) [[1,0,1],[1,1,2],[-1,1,0]]
d) [[1,2,1],[1,0,1],[-1,1,0]]