循环矩阵可逆的充要条件和求逆公式

The Necessary and Sufficient Condition oh Which Cyclic Matrix Is Invertible Together with the Matrix Inversion Formula

文献[1]用逆矩阵的定义证明了循环矩阵的一个求逆公式(本文推论2).本文给出了循环矩阵可逆的一个充要条件,并给出了循环矩阵求逆公式的另一证法.

The docoment [1] proves a matrix inversion formula (Deduction 2 in this paper) of cyclic matrix through the definition of inverse matrix.This paper provides a necessary and sufficient condition on which cyclic matrix is invertible, and at the same time it provides another proving method of cyclic matrix-inversion formula.