The Effect of the Additive Row Operation on the Permanent
Authors : Ahmet Zahid Küçük, Abdullah Talha Sözer
Pages : 8-13
Doi:10.53570/jnt.1178990
View : 11 | Download : 5
Publication Date : 2023-03-31
Article Type : Research
Abstract :The permanent function is not as stable as the determinant function under the elementary row operations. For example, adding a non-zero scalar multiple of a row to another row does not change the determinant of a matrix, but this operation changes its permanent. In this article, the variation in the permanent by applying the operation, which adds a scalar multiple of a row to another row, is examined. The relationship between the permanent of the matrix to which this operation is applied and the permanent of the initial matrix is given by a theorem. Finally, the paper inquires the need for further research.Keywords : Permanent, Gaussian elimination, elementary row operations, Laplace expansion