This problem is asking if the equations are linear, and if not which rule they break and which term breaks it.

9. Why "Linear" Algebra? Part 1 (10 pts) Linear algebra is used for solving systems A linear transformation, or linear map, or linear function, follows these two rules: (i) f(x + y) = f(x) + f (y) which are linear in the unkowns. So we first need to talk about linear transformations. (ii) f(cr)-cf(x), where c is some scalar Your job is to use one, or both, of these rules to verify if the following transformations are linear transformations or not. If it is not, state which rule is violated and whiclh term is violating the rule The same rules apply in the multivariable case: (ii) f(cr, cy)-cf(x, y), where c is some scalar (g) f(x, y)-aby (h) f(x, y) 2y