Prove that the transformation T: R2 R2 defined by T(x,y) = (2x,x -y)islinear.Findthe images ofthe elements ( 1, 2) and ( -1, 4) under this transformation.

Page 1 of 3 Panel 2 Panel 4 11/19/2015 : NoPanel 1NEAR ALGEBRA (Session) Panel 3 yw2jw Page 2 of 3 Panel 6 Panel 8 11/19/2015 : NoPanel 5NEAR ALGEBRA (Session) Panel 7 yw2jw