“CyclicVectorTheorem”的概念、定义、习题解题方法及翻译-数学辞典

单词	CyclicVectorTheorem
释义	cyclic vector theorem Let $K$ be a field, $V$ a $K$ -vector space of dimension $n$ ,and $f:V\\longrightarrow V$ a linear transformation. Then $f$ has a cyclic vector if and only if every linear transformation $g:V\\longrightarrow V$ which commutes with $f$ is a polynomial of $K[X]$ evaluated in $f$ .
随便看	argument principle ARingModuloItsJacobsonRadicalIsSemiprimitive a ring modulo its Jacobson radical is semiprimitive AristotelianLogic Aristotelian logic Aristotle Aristotle Arithmetic arithmetic ArithmeticalHierarchy arithmetical hierarchy ArithmeticalHierarchyIsAProperHierarchy arithmetical hierarchy is a proper hierarchy ArithmeticalRing arithmetical ring ArithmeticDerivative arithmetic derivative ArithmeticEncoding arithmetic encoding ArithmeticFunction arithmetic function ArithmeticFunctionsFormARing arithmetic functions form a ring ArithmeticgeometricharmonicMeansInequality arithmetic-geometric-harmonic means inequality

数学辞典收录了18232条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。

cyclic vector theorem