Properties of Row (Column) Transposed Matrix

The concepts of row (column) transposed matrix and row (column) symmetric matrix are given, and problems like the determinant, characteristic, reversibility, similarity and symmetry are also examined. The results show: N-order matrix, together with its transposed matrix of rows and columns, all of the three have the same reversibility; the transposed matrix of rows and the transposed matrix of columns have much in common in similarity, and some other relevant results are obtained.