Frobenius inequality
For any matrices $A$, $B$, $C$ such that $ABC$ exists, then $\mathrm{rank}AB+\mathrm{rank}BC\le \mathrm{rank}ABC+\mathrm{rank}B.$
References
- 1 Carl D. Meyer Matrix Analysis and Applied Linear Algebra
Title | Frobenius inequality |
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Canonical name | FrobeniusInequality |
Date of creation | 2013-03-22 15:30:03 |
Last modified on | 2013-03-22 15:30:03 |
Owner | georgiosl (7242) |
Last modified by | georgiosl (7242) |
Numerical id | 6 |
Author | georgiosl (7242) |
Entry type | Theorem |
Classification | msc 15-00 |