引进了拟块有向边覆盖对角占优矩阵概念，给出了新的矩阵非奇异判定定理和特征值分布定理。
We introduced the concept of block directed edge cover diagonal quasi dominant matrix, obtained a new nonsingularity criteria for matrices and distribution theorem on eigenvalues of matrix.
对于非奇异单圈混合图，范益政给出了其最小特征值所对应特征向量的一个很好结构性质。
In the case of being a unicyclic mixed graph, Fan Yi-Zheng gives a remarkable result on the structure of the eigenvectors corresponding to its smallest eigenvalue.
讨论了矩阵乘积ab与BA的特征值、特征向量及秩等的关系，并得到了矩阵的奇异值分解。
The relationship between the eigenvalue, eigenvector and the rank of the product of matrices AB and BA is discussed, and the factorization of the singular values of matrix a is obtained.
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