Let E be a vector space of finite dimension n ≥ 1 and let f: E→ E be any linear map. The following properties hold: (1) If f has a left inverse g, that is, if g is a linear map such that go f = id, then f is an isomorphism and f-¹ = g. (2) If f has a right inverse h, that is, if h is a linear map such that foh= id, then f is an isomorphism and f¹ = h.

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