pls explain the answer a little bit, thank you.
Let A ∈ Mm,n(F) and let TA : F n → F m be the correspondinglinear map (see (1.2)). (a) Prove that A has a left inverse if andonly if TA is injective. (b) Prove that A has a right inverse ifand only if TA is surjective. (c) Prove that A has a two-sidedinverse if and only if TA is an isomorphism.
