摘要:矩阵相似在高等代数中占有非常重要的地位,近几年来也有许多学者对其进行了研究,本篇文章首先介绍了矩阵相似的概念,其次,对矩阵相似的性质、定理、引理、推论等进行了简单的总结,最后在矩阵相似的概念、性质、定理的基础上,对判断矩阵相似的条件、特征矩阵及矩阵的对角化等方面的应用进行探讨.并用大量的例题加以证明.39420 毕业论文关键词 :矩阵相似 ;矩阵;对角化问题;特征值;特征.
Similarity matrix and its application
Abstract : Matrix similarity holds the very important status in the higher algebra,incre- cent years also has many scholars carried on the research, this article first introduced the concept of matrix similarity , secondly , similar to the matrix properties, theorems, lemmas , inference has carried on the simple summary , finally in the matrixsimilar to the concept , the nature,the theorem based , for the judgement of the applications of the matrix similar conditions, characteristic matrix and matrix of keratosis were discu- ssed. And a lot of examples proved.
Keywords: similar matrix ; matrix ; diagonalization ; eigenvalue ; eigenvector .
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