摘要
介绍了一般矩阵特征值的性质、求法、证法及一类特殊矩阵的特征值的求法,讨论了实对称矩阵有关特征值、特征向量的性质,以及正交变换化实对称矩阵为相似对角形矩阵,利用矩阵的特征值证明及求解行列式和矩阵。
By concise theoretical and method introducing, the property and proving method for characteristic value of general matrix is presented, the calculating method of characteristic value for a class of special matrix is showed also. On bases of these, discuss the property of characteristic value and vector for real symmetrical matrix and changing real symmetrical matrix to similar diagonal matrix by mean of orthogonal transformation, the proving method and solution for determinant and matrix by mean of characteristic value is discussed also.
出处
《安阳师范学院学报》
2006年第2期11-14,共4页
Journal of Anyang Normal University
关键词
矩阵
特征值
特征多项式
对角阵
matrix
characteristic value
characteristic polynomial
diagonal matrix
