Recent content by ungaria

let g be the inverse function of f (not necessarily a bijective inverse function) If S is any subset of W then the pre-image of S is g(S) = {v ε V: f(v) ε S} Suppose that U is a subspace of W. Prove that g(U) is a subspace of V. Also prove that dim( g(U) )= dim( U intersect Im(f) ) +...