A linear transformation L : V W is said to be one-to-one if L(v1) = L(v2) implies that
Chapter 4, Problem 21(choose chapter or problem)
A linear transformation L : V W is said to be one-to-one if L(v1) = L(v2) implies that v1 = v2 (i.e., no two distinct vectors v1, v2 in V get mapped into the same vector w W). Show that L is oneto- one if and only if ker(L) = {0V }. 2
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