几个线性代数定理的简证

Some Simple Proofs of A Number of Theorem in Linear Algebra

本文给出了线性代数中替换定理、实对称矩阵的特征根都是实数及实对称矩阵可以对角化等结论的新证明.

In the paper,the authors give some simple proofs of a number of theorem in linear algebra,two simple proofs of substitute theorem ; A simple proof of the eigenvalues of a real symmetrir matrin are real unmbers ; A simple proof of the real symmetric matrix is diagonalizable, be given.