Is T(x, y) = (x1+5, x2) a Linear Transformation?

[joemama69]

Homework Statement

Verify the linear transformation & find the standard matrix A

T:R²->R², T(x,y) = (x₁+5,x₂)

Homework Equations

The Attempt at a Solution

so i have to verify addition and multiplication

T(u+v) = ((u₁+v₁)+5,(u₂+v₂)
Does this fail.. it seems i will never be able to have the five on both sides where it looks like this... (u₁+5,u₂)+(v₁+5,v₂)

Did i do this correctly

 

[LCKurtz]

Yes. You have shown that it is not a linear transformation.