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This article provides definitions of idempotent, nilpotent, involutory, self-reversible, similar, and congruent matrices, the trace of a matrix and their main properties. MML identifier: MATRIX 8, version: 7.6.01 4.53.937doi:10.2478/v10037-006-0002-3 fatcat:uvbpxeotnrggrc5qz4ivy3hhya