A matrix equation $X^n = aI
In this paper, we study a matrix equation $X^n = aI$. We factorize $X^n - aI$ based upon the factorization of $x^n - a$ and then give a necessary and sufficient condition for one of the factors to be the zero matrix.
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | In this paper, we study a matrix equation $X^n = aI$. We factorize $X^n - aI$
based upon the factorization of $x^n - a$ and then give a necessary and
sufficient condition for one of the factors to be the zero matrix. |
|---|---|
| DOI: | 10.48550/arxiv.1412.8571 |