[SOLVED] Linear transformations 1. The problem statement, all variables and given/known data Determine whether the following maps are linear transformations. (proofs or counterexamples required) a.) L: R^2[tex]\rightarrow[/tex]R^2, (x1) (x2) [tex]\mapsto[/tex] (2x1 + 3x2) (0) The brackets should be two large brackets surrounding the two vectors. 3. The attempt at a solution I've been reading about linear transformations and i know i have to show something like: L(x1+x2)= L(x1) +L(x2) and L(cx1)= cL(x1) where c is a scalar. Is this right and i should treat x1 and x2 separately rather than the vector including x1 and x2 as one element of R^2? What im trying to say is, do i need to define a vector (y1, y2) aswell in the set of R^2?