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)

 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 li

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