A matrix conveying system for intended use in sorting articles and related methods of conveying and sorting articles are disclosed. In one embodiment, the matrix system comprises a plurality of first conveyors extending in a first direction and a plurality of second conveyors extending in a second direction, each intersecting the plurality of first conveyors. A transfer conveyor, such as a transpositor conveyor, may be provided for transferring articles from one of the first conveyors to one of the second conveyors. The system may be used to sort articles delivered from one or more storage locations for distribution, or may instead be used to sort articles for delivery to one or more storage locations.