Cayley-Hamilton theorem

Cayley-Hamilton theorem

[¦kāl·ē ¦ham·əl·tən ‚thir·əm]
(mathematics)
The theorem that a linear transformation or matrix is a root of its own characteristic polynomial. Also known as Hamilton-Cayley theorem.
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2) If n is even (nothing to do) as this is Cayley-Hamilton theorem
They proceed to a combinatorial argument for the classical Cayley-Hamilton theorem and describe non-negative matrices and their special properties.