Using the Cayley-Hamilton theorem with N-partitioned matrices
Warwick, K. (1983) Using the Cayley-Hamilton theorem with N-partitioned matrices. IEEE Transactions on Automatic Control, 28 (12). pp. 1127-1128. ISSN 0018-9286
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To link to this article DOI: 10.1109/TAC.1983.1103193
A definition is given for the characteristic equation of anN-partitioned matrix. It is then proved that this matrix satisfies its own characteristic equation. This can then be regarded as a version of the Cayley-Hamilton theorem, of use withN-dimensional systems.