A direct and simple proof of Jacobi identities for determinants

Mathematics – General Mathematics

Scientific paper

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6 pages

Scientific paper

The Jacobi identities play an important role in constructing the explicit
exact solutions of a broad class of integrable systems in soliton theory. In
the paper, a direct and simple proof of the Jacobi identities for determinants
is presented by employing the Pl$\ddot{u}$cker relations.

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