结合高等代数专题教学经验和近年高等代数的考研真题,总结了利用矩阵的Sylvester 定理来解决有关矩阵特征值和行列式问题的方法,供相关人员参考。%In this paper,combining with the author's experience in advanced algebra teaching and entrance ex-amination of graduate students of advanced algebra ,some methods of applications of Sylvester theorem in calcu-lations of eigenvalue of matrix and of determinants have been given.
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