arXiv
Open Access
2009
An Explicit Construction of Gauss-Jordan Elimination Matrix
Yi Li
Abstrak
A constructive approach to get the reduced row echelon form of a given matrix $A$ is presented. It has been shown that after the $k$th step of the Gauss-Jordan procedure, each entry $a^k_{ij}(i<>j; j > k)$ in the new matrix $A^k$ can always be expressed as a ratio of two determinants whose entries are from the original matrix $A$. The new method also gives a more general generalization of Cramer's rule than existing methods.
Penulis (1)
Y
Yi Li
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2009
- Bahasa
- en
- Sumber Database
- arXiv
- Akses
- Open Access ✓