A linear transformation L : V ? W is said to be one-to-one or injective if L(v1) = L(v2) implies v1 = v2.

A linear transformation L : V > W is said to be onetoone 0r injective if L(v1) : L(v2) implies v1 : V2. (a) Show that if ker(L) : {0V}, then L is onetoone. (b) Show that if L is onetoone, then ker(L) : {0V}