3类典型的“矩阵和”的行列式计算及其应用

On the Calculation of the Determinant of Three Typical"Matrix Sum"and its Application

数学及其相关应用领域方面,很多时候行列式的计算是关键。目前行列式的计算方法有很多,大多建立在常规性质的应用上,其中“矩阵和”的行列式计算是一个难点,学习者想要掌握不是一件易事,给出3类典型的“矩阵和”的行列式计算方法,主要体现其构造思想,这样其结果可以很灵活地运用于一系列的行列式简化计算之中。

In mathematics and its related application fields,the calculation of determinant is the key in many cases.At present there are a lot of the calculation method of determinant,mostly based on the conventional properties on the application,the determinant calculation of"matrix addition"is a difficult point,learners want to master is not an easy task,this paper gives three kinds of typical"matrix addition"determinant method,mainly reflects the construction of ideas,so that the result can be flexibly applied to a series of simplified calculation of the determinant.