Article ID Journal Published Year Pages File Type
4599144 Linear Algebra and its Applications 2015 7 Pages PDF
Abstract

We first prove a matrix identity concerning the blocks of generalized Jordan blocks and then give applications to some invariants of matrices. As a consequence, we reprove the well known fact that for an eigenvalue λ, its algebraic multiplicity is greater than or equal to its geometric multiplicity.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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