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)
