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Under consideration of multicoordinate digital  antenna arrays (DAA) there is the problem of compact matrix record of the responses of reception channels. The known mathematical apparatus does not allow to use habitual for the perception structures of matrixes, describing directivity characteristics of the antenna elements and amplitude-frequency characteristics of the filters. For the solution of the given problem it is offered to operate with a special type of the product of matrixes, named by the author as "face-splitting".