Necessary and Sufficient Condition for a Set of Matrices to Commute
M. De la Sen
TL;DR
This paper establishes a precise mathematical condition that determines when a set of matrices commute, providing a fundamental criterion in matrix algebra.
Contribution
It presents a necessary and sufficient condition for a set of matrices to commute, filling a theoretical gap in matrix algebra.
Findings
Derived a clear criterion for matrix commutativity
Proved the condition rigorously
Applicable to various matrix sets
Abstract
The necessary and suffcient condition for a set of matrices to commute is given and proven.
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Taxonomy
TopicsMatrix Theory and Algorithms · Stability and Control of Uncertain Systems · Mathematical Control Systems and Analysis