Describe explicitly a linear transformation from ℝ³ into ℝ³ which has as its range the subspace spanned by (1, 0, -1) and (1, 2, 2) .
A. T(x, y, z) = (x + y, 2y, z - y)
B. T(x, y, z) = (x - z, 2y, 2z)
C. T(x, y, z) = (x + y, y, z + 2y)
D. T(x, y, z) = (x - z, y + 2z, z)