Question

T:R3 -> R2 is a linear transformation where T(1,1,2)=(2,3)
T(1,0,1)=(1,1) and T(1,1,0)=(2,1)
Determine T(X,Y,Z) and prove that T(X,Y,Z) is a linear transformation.

Answer 1

Why do you have to prove it's a linear transformation when it's already given to be? :o

Answer 2

I ask myself the same thing! Sorry for the late response.