1. The problem statement, all variables and given/known data Determine if the following is a linear transformation or not f : IR2 → IR, f(x, y) = x + y 2. Relevant equations T(x+y) = T(x) + T(y) T(ca) = Tc(a) 3. The attempt at a solution I can't tell you how much I've read, how many youtube videos I've watched over the last couple of hours. I'm so confused with linear transformations. They are basically functions, only we want to think of them slightly differently and visualise them as moving, squishing, stretching a vector. Can somebody eli5 (explain like I'm 5) and help me understand linear transformations / isomorphs. I added the example above as a reference.