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What Are Linear Operators?

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Explanations 1

A linear operator is a linear map from a vector space to itself. Denote the set of all operators on VVV by L(V)\mathcal{L}(V)L(V). Now some examples and non-examples: Now we hav…
By Yiyi Rao

Problems 1

If VVV is a finite dimensional vector space, R,S,T∈L(V)R, S, T\in \mathcal{L}(V)R,S,T∈L(V), such that RSTRSTRST is surjective. Then