(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine if the transformation T: [tex]R^{2}\rightarrow R^{2}[/tex] is linear if T(x, y)= (x+1, 2y)

2. Relevant equations

1. T(u + v) = T(u) + T(v)

2. T(c*u) = cT(u)

3. T(0) = 0

3. The attempt at a solution

I believe I have to use the above provided equations to determine whether T(x, y)= (x+1, 2y) is linear or not. If I use the third equation above, I get T(0,0) = T(0 + 1, 0) = (1, 0). Therefore the transformation is not linear. Am I right?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Linear Transformations problem

**Physics Forums | Science Articles, Homework Help, Discussion**