Abstract
By diagonalizing a matrix via a similarity transformation, we provide a new and direct proof of Sylvester's theorem in matrix theory. Several known theorems are reconstructed. In some places we offer new connections which are unnoticed in the literature before.
| Original language | English |
|---|---|
| Pages (from-to) | 209-215 |
| Number of pages | 7 |
| Journal | Journal of Mechanics |
| Volume | 14 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1998 Dec |
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Mechanical Engineering
- Applied Mathematics