Abstract
In this paper, we consider an m × n regular matrix A over a commutative ring A (-a matrix whose range is direct summand of A m) and a necessary and sufficient condition in terms of determinantal rank is obtained for solvability of Ax = b. In the light of this result we define rank-function for matrices.
| Original language | English |
|---|---|
| Pages (from-to) | 297-302 |
| Number of pages | 6 |
| Journal | Communications in Algebra |
| Volume | 25 |
| Issue number | 1 |
| Publication status | Published - 1997 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory