范德蒙行列式的应用探究

An Inquiry into the Application of Vandermonde Determinant

范德蒙行列式作为行列式计算的一种工具有着广泛的应用,本文探讨了范德蒙行列式在求解线性方程组、行列式计算、多项式理论以及微积分证明方面的应用,希望通过这些典型的例子的阐述掌握运用范德蒙行列式来解决问题的技巧和方法。

The Vandermonde determinant has been widely used as a tool of determinant calculation. This paper discusses the application of Vandermonde determinant in solving linear e- quations, determinant calculation, polynomial theory and cal- culus vaiidation, hoping to master the techniques and methods of solving problems with Vandermonde determinant through the exposition of these typical examples.