Abstract
In classical linear algebra the machine of matrices is widely used. But the classic linear algebra deals with continuous objects. Logical algebra, built by analogy with the classical linear algebra, builds the same models using discrete objects that have logical structure and obey the relevant laws. This leads to a significant difference in the functioning of the constructed models. This article is devoted to matrices, as elements for which the elementary logical elements are taken, namely the finite predicates of any quality of variables. In the work investigated the properties of such matrices and features of their application. Basic operations on such matrices are also considered. Besides the usual operations that take place in classical linear algebra, logical structures allow to perform this several operations.
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