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

单词	CayleyHamiltonTheorem
释义	Cayley-Hamilton theorem Let $T$ be a linear operator on a finite-dimensional vector space $V$ , and let $c(t)$ be the characteristic polynomial of $T$ . Then $c(T)=T_{0}$ , where $T_{0}$ is the zero transformation. In other words, $T$ satisfies its own characteristic equation.
随便看	ExampleOfAnalyticContinuation example of analytic continuation ExampleOfAnArtinianModuleWhichIsNotNoetherian example of an Artinian module which is not Noetherian ExampleOfAnExtensionThatIsNotNormal example of an extension that is not normal ExampleOfAnInfiniteFieldOfFiniteCharacteristic example of an infinite field of finite characteristic ExampleOfANonfullyInvariantSubgroup example of a non-fully invariant subgroup ExampleOfANonlatticeHomomorphism example of a non-lattice homomorphism ExampleOfANonRiemannIntegrableFunction example of a non Riemann integrable function ExampleOfAnOperator example of an operator ExampleOfAntisymmetric example of antisymmetric ExampleOfAProbabilisticProof example of a probabilistic proof ExampleOfAProjectiveModuleWhichIsNotFree example of a projective module which is not free ExampleOfAProofUsingNets example of a proof using nets ExampleOfARightNoetherianRingThatIsNotLeftNoetherian

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。

Cayley-Hamilton theorem