## February 26th, 2018

### Cayley-Hamilton theorem and Nakayama’s lemma

Originally published at 狗和留美者不得入内. You can comment here or there.

The Cayley-Hamilton theorem states that every square matrix over a commutative ring $A$ satisfies its own characteristic equation. That is, with $I_n$ the $n \times n$ identity matrix, the characteristic polynomial of $A$

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### Cayley-Hamilton theorem and Nakayama’s lemma

Originally published at 狗和留美者不得入内. You can comment here or there.

The Cayley-Hamilton theorem states that every square matrix over a commutative ring $A$ satisfies its own characteristic equation. That is, with $I_n$ the $n \times n$ identity matrix, the characteristic polynomial of $A$

)