Given the transformation T xyz 2xz 3yz a Fill in for the do
 Given the transformation T (x,y,z) = (2x+z, 3y-z). 
 
 
 
 a) Fill in for the domain and codomain of the transformation.
 T: ______ -> ______
 b) Prove that T is a linear transformation.
 c) Write the standard matrix of the linear transformation T.
  Given the transformation T (x,y,z) = (2x+z, 3y-z). 
 
 
 
 a) Fill in for the domain and codomain of the transformation.
 T: ______ -> ______
 b) Prove that T is a linear transformation.
 c) Write the standard matrix of the linear transformation T.
 a) Fill in for the domain and codomain of the transformation.
 T: ______ -> ______
 b) Prove that T is a linear transformation.
 c) Write the standard matrix of the linear transformation T.
Solution
Given the transformation T (x,y,z) = (2x+z, 3y-z).
a) Fill in for the domain and codomain of the transformation.
T : (x,y,z) -> (2x+z, 3y-z)

