Suppose that T₁:R⁴->R⁴ is a linear transformation and that
[1] [1] [0] [1] [0] [0] [0] [0]
[2] [0] [1] [1] [0] [1] [0] [0]
T₁[3]=[2], T₁[1]= [0], T₁ [2]= [2] and T₁ [0] = [4]
[1] [1] [2] [1] [2] [3] [3] [2]