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

受Argand证明代数基本定理的启发,给出了矩阵特征值和特征向量存在性的一个新证明.该方法仅使用了Weierstrass定理、线性算子逆的定义和代数恒等式.

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.