Linear Algebra Done Right · Problem 9C.1

Operators on Real Vector Spaces — Sheldon Axler

Mathematics — Linear Algebra · determinants

Problem

Prove or give a counterexample: S,T∈L(V)  ⟹  det⁡(S+T)=det⁡S+det⁡TS, T \in \mathcal{L}(V) \implies \det(S+T) = \det S + \det T.

Related theory

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