关于n阶循环矩阵可逆问题的几点讨论

Research on the Inverse Problem of N-order Cycle Matrix

循环矩阵是重要矩阵之一,这不仅是因为其本身所包含的丰富内容,更是由于它的实际应用面之广泛性。文章介绍了n阶循环矩阵的定义、n阶循环矩阵的行列式和其基本性质,并且进一步给出了n阶循环矩阵可逆的判定以及求n阶循环矩阵的逆矩阵的方法。

Cycle matrix is one of the most important matrix, not only because it is rich in content ,but it is widely used. This paper introduces the definition, determinant and basic properties of n-order cycle matrix, furthermore gives the judgements of n-order cycle matrix which is inverse and find the calculations of the inverse matrix of n-order cycle matrix.