Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4599144 | Linear Algebra and its Applications | 2015 | 7 Pages |
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
Authors
Jun Liao, Heguo Liu, Minfeng Shao, Xingzhong Xu,