Answer by rVitale for Algebraic and geometric multiplicities
The algebraic multiplicity is referring to multiplicity of some root of the characteristic polynomial, which is defined for matrices over any commutative ring. You can define this independent of a...
View ArticleAlgebraic and geometric multiplicities
I'm aware of the formal definition of algebraic and geometric multiplicities, but I can't make much sense out of the names.What I mean is, if it were me, I would name these two quantities multiplicity...
View ArticleAnswer by Ryan Vitale for Why are algebraic and geometric multiplicities...
The algebraic multiplicity is referring to multiplicity of some root of the characteristic polynomial, which is defined for matrices over any commutative ring. You can define this independent of a...
View ArticleWhy are algebraic and geometric multiplicities called like that?
I'm aware of the formal definition of algebraic and geometric multiplicities, but I can't make much sense out of the names.What I mean is, if it were me, I would name these two quantities multiplicity...
View Article
