矩阵的同时相似与等价在基域扩张下的不变性
Invariance of simultaneous similarity and equivalence of matrices under extension of the ground field
摘要：
本文给出了一个新的初等证明，证明了矩阵族的同时相似和同时等价在基域的扩张下是不变的，这个结果对于有限域是非平凡的，并且首次出现在Klinger和Levy的一篇论文中.
英文摘要：
We give a new and elementary proof that simultaneous similarity and simultaneous equivalence of families of matrices are invariant under extension of the ground field, a result which is non-trivial for finite fields and first appeared in a paper of Klinger and Levy.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
