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Logical matrix
A logical matrix, binary matrix, relation matrix, Boolean matrix, or (0,1) matrix is a matrix with entries from the Boolean domain B = . Such a matrix can be used to represent a binary relation between a pair of finite sets.
==Matrix representation of a relation==
If ''R'' is a binary relation between the finite indexed sets ''X'' and ''Y'' (so ), then ''R'' can be represented by the adjacency matrix ''M'' whose row and column indices index the elements of ''X'' and ''Y'', respectively, such that the entries of ''M'' are defined by:
:
In order to designate the row and column numbers of the matrix, the sets ''X'' and ''Y'' are indexed with positive integers: ''i'' ranges from 1 to the cardinality (size) of ''X'' and ''j'' ranges from 1 to the cardinality of ''Y''. See the entry on indexed sets for more detail.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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