Linear Algebra Done Right · Problem 3D.14

Linear Maps — Sheldon Axler

Mathematics — Linear Algebra · invertible-linear-maps

Problem

Prove or give a counterexample: If VV is a finite-dimensional vector space and R,S,T∈L(V)R, S, T \in \mathcal{L}(V) are such that RSTRST is surjective, then SS is injective.

Related theory

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