Question: 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

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 one-to-one if and only if ker(L) = {0v}.

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Suppose L is onetoone and v ker L L v 0 W and L 0 V 0 W Since L ... View full answer

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