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Results tagged with linear-algebra
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user 99127
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
7
votes
2
answers
943
views
Principal ideal ring, does there exist an invertible matrix such that certain matrix is uppe...
I asked here on Math Stack Exchange the following question.
Let $R$ be a principal ideal ring. If $A$ is any $p \times q$ matrix over $R$, then does there exist an invertible matrix $U$ in $\text{M}_ …
- 305
13
votes
3
answers
745
views
Is there a row vector $x$ with integer entries such that no entry of $xM$ is $0 \text{ (mod ...
Let $p$ be a prime and let $M$ be an $n \times m$ matrix with integer entries such that $M\vec{v} \not\equiv \vec{0} \text{ (mod }p\text{)}$ for any column vector $\vec{v} \neq \vec{0}$ whose entries …
- 305