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We prove that the problems of classifying triples of symmetric orskew-symmetric matrices up to congruence, local commutative associativealgebras with zero cube radical and square radical of dimension 3, and Liealgebras with central commutator subalgebra of dimension 3 are hopeless sinceeach of them reduces to the problem of classifying pairs of n-by-n matrices upto simultaneous similarity.

Problems of classifying associative or Lie algebras and triples of symmetric or skew-symmetric matrices are wild