Final answer:
The reverse transformation for the given transformation is x = x' - y' + z', y = 2x' - y', z = -x' + y'.
Step-by-step explanation:
The reverse transformation for the given transformation T(x, y, z) = x(1,2,-1) + y(0,-1,1) + z(1,0,0) can be obtained by interchanging the primed and unprimed variables and substituting. This gives:
x = x' - y' + z'
y = 2x' - y'
z = -x' + y'