一类特殊矩阵行列式的解法

The Methods for Calculating Determinant of a Special Kind of Matrix

讨论了一类特殊矩阵行列式的解法。当方阵不可逆而特征值已知时,可先求出伴随矩阵的特征值,然后利用伴随矩阵的特征值计算出相应矩阵的行列式。我们给出了三种行之有效的求解方法。

The methods for calculating determinant of a special kind of matrix are discussed in the paper. If the matrix is not invertible and the eigenvalues are known, then we first find the eigenvalues of the adjoint matrix, and calculate the corresponding determinant by using the eigenvalues of the adjoint matrix. Three kinds of ef- fective methods are given.