a square matrix of n rows and columns; cells contain n different symbols so arranged that no symbol occurs more than once in any row or column
a matrix in which each number occurs exactly once in every row and once in every column
an nxn matrix, in which the entries in each row and column are distinct
A square array of Alphabetical characters "A, B, C, etc." arranged so that each character occurs once in each column, row and, if possible, each diagonal. All Latin Squares are "Magic Carpets".
A Latin square is an n × n table filled with n different symbols in such a way that each symbol occurs exactly once in each row and exactly once in each column. Here are two examples.