Let L : R ? R be the function defined by L. ([*2)) =1) Show that L is a linear transformation2) Find ker(L)3) Find range

Let L : R² ? R³ be the function defined by L. ([*2)) =1) Show that L is a linear transformation2) Find ker(L)3) Find range (L)4) If S = span{e?,e?} find L(S)