Homework Statement
Is T(X,Y)->(X,Y,1) a linear transformation? where X and Y are defined R2 column vectors.
Homework Equations
Attempt to prove T(cX+Y)=cT(X)+T(Y)
Consider T(cx1+y1,cx2+y2)->(cx1+y1,cx2+y2,1)
The Attempt at a Solution
RS=cT(x1,y1)+T(x2,y2)->c(x1,y1,1)+(x2,y2,1)...