沈阳大学学报(自然科学版)2018,Vol.30Issue(1):84-86,3.
矩阵特征值和特征向量存在性的新证明
An New Proof on Existence of Eigenvalues and Eigenvectors of Matrices
摘要
Abstract
Inspired by proofing of Argand for algebraic basic theorem,a new proof of the existence of matrix eigenvalues and eigenvectors is given.The method only relies on Weierstrass's theorem,the definition of the inverse of a linear operator and algebraic identities.关键词
谱定理/特征值/特征向量/Weierstrass定理/线性算子Key words
spectral theory/eigenvalue/eigenvector/Weierstrass theorem/linear operators分类
数理科学引用本文复制引用
杨燕妮..矩阵特征值和特征向量存在性的新证明[J].沈阳大学学报(自然科学版),2018,30(1):84-86,3.基金项目
新疆维吾尔自治区自然科学基金资助项目(2017D01A13). (2017D01A13)