Hi.
Can anybody tell me why he said that: "almost every square matrix satisfies his characteristic equation..."....why "almost", is it not true for every squared Matrix?:
Thanks.
Thanks. Wikipedia says that the "Cayley-Hamilton theorem" is true "for every square matrix over a commutative ring. Of course the integers, rational numbers, and real numbers are "commutative rings" (the last two fields) so the "Cayley-Hamilton theorem" is true for any matrices whose entries are from our usual number systems.