Abstract
We determine the real linear span of the orthogonal orbit of a real matrix. Except the trivial case when the matrix is a scalar, there are six subspaces which can be such linear spans. The situation is different from the complex case. We also pose some problems involving orthogonal matrices.
| Original language | English |
|---|---|
| Pages (from-to) | 337-346 |
| Number of pages | 10 |
| Journal | Linear and Multilinear Algebra |
| Volume | 49 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2001 |
| Externally published | Yes |
Keywords
- Linear span
- Orthogonal matrices
- Orthogonal orbit