SOLUTION: Is the transformation T defined by T(x1, x2, x3)=(2x1-x2, x3+4) linear or non-linear? Explanation? Thanks for your help!

Algebra ->  College  -> Linear Algebra -> SOLUTION: Is the transformation T defined by T(x1, x2, x3)=(2x1-x2, x3+4) linear or non-linear? Explanation? Thanks for your help!      Log On


   



Question 964568: Is the transformation T defined by T(x1, x2, x3)=(2x1-x2, x3+4) linear or non-linear? Explanation? Thanks for your help!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Linear : The transformed values are linear combinations of x1, x2, and x3 so it's a linear transformation.