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 }.
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.