Matching variables to equations in infinite linear equation systems
نویسندگان
چکیده
A fundamental result in linear algebra states that if a homogenous equation system has only the trivial solution, then there are at most as many variables equations. We prove following generalisation of this phenomenon. If possibly infinite with finitely each exists an injection from to equations maps variable which it appears.
منابع مشابه
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2023
ISSN: ['1873-1856', '0024-3795']
DOI: https://doi.org/10.1016/j.laa.2022.12.002