【正文】
congruence。目 錄摘 要 1關(guān)鍵詞 1Abstract 1Keywords 1前言 11 預(yù)備知識 1 1 22 正定二次型的性質(zhì) 23 正定二次型的應(yīng)用 7 7. 8 9 10 11(歐氏空間的內(nèi)積與正定矩陣) 12. 12. 12結(jié)束語………………………………………………………………………………...…….….13參考文獻 13正定二次型的性質(zhì)及應(yīng)用摘 要:本文主要探討了正定二次型的性質(zhì),結(jié)合例題重點介紹了正定二次型的應(yīng)用,如研究極值問題方面、解決多項式的根和在物理方面的應(yīng)用等.關(guān)鍵詞:正定二次型;正定矩陣;合同;初等變換;分塊矩陣 The properties and Applications of positive definite Quadratic FormsAbstract:In this paper,the properties of positive definite quadratic form is discussed. By giving examples, we mainly introduce the applications of positive definite quadratic form, such as the application to extremum questions、studying the polynomial root and applications in physics et al.Keywords:positive definite quadratic form。 positive definite matrix。elementary transformation;partitioned matrix. 前言二次型是線性代數(shù)的主要內(nèi)容之一,正定二次型是是實二次型中一類特殊的二次型,,且有很大的