Question: (a) Show that if L: V V is linear and ker L {0}, then L is not invertible. (b) Show that if rng

(a) Show that if L: V → V is linear and ker L ≠ {0}, then L is not invertible.
(b) Show that if rng L ≠ V, then L is not invertible.
(c) Give an example of a linear map with ker L = {0} which is not invertible.

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