Abstract
We give a simple proof of a recent result of Gollin and Joó (Matching variables to equations in infinite linear equation systems. Linear Algebra Appl. 2023;660:40–46. doi: 10.1016/j.laa.2022.12.002): if a possibly infinite system of homogeneous linear equations A x → = 0 → , where A = ( a i , j ) is an I × J matrix, has only the trivial solution, then there exists an injection ϕ : J → I , such that a ϕ ( j ) , j ≠ 0 for all j ∈ J .
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
