工程数学线性代数中对称矩阵的对角化问题

On Diagonalization of Symmetric Matrices in Linear Algebra of Engineering Mathematics

针对工程数学线性代数中对称矩阵的对角化问题进行分析,剖析了相关定理,并把对称矩阵的对角化问题与二次型化标准形问题相结合,为学生学习二次型的相关知识提供更加坚实的理论基础。

The diagonalization of symmetric matrices in linear algebra of engineering mathematics is mainly analyzed and the relevant theorems is dissected in the paper.The diagonalization of symmetric matrices combines with the standard form problem of quadratic formalization,which provides a more solid theoretical foundation for the subsequent learning of the relevant knowledge of quadratic forms.