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Frobenius inequality
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(Theorem)
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For any matrices $A$ $B$ $C$ such that $ABC$ exists, then $\operatorname{rank} AB + \operatorname{rank} BC \leq \operatorname{rank} ABC+ \operatorname{rank} B.$
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- Carl D. Meyer Matrix Analysis and Applied Linear Algebra
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"Frobenius inequality" is owned by georgiosl.
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Cross-references: matrices
There are 2 references to this entry.
This is version 3 of Frobenius inequality, born on 2005-09-06, modified 2005-09-07.
Object id is 7360, canonical name is FrobeniousInequality.
Accessed 2375 times total.
Classification:
| AMS MSC: | 15-00 (Linear and multilinear algebra; matrix theory :: General reference works ) |
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Pending Errata and Addenda
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