方洪锦.体上特征矩阵的简化形式与法式存在定理[J].数学研究及应用,1984,4(3):33~36 |
体上特征矩阵的简化形式与法式存在定理 |
The Reduced Form and Existence Theorem of the Canonical Form of Characteristic Matrices over a Skew Field |
投稿时间:1981-10-20 |
DOI:10.3770/j.issn:1000-341X.1984.03.008 |
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英文摘要: |
Based on [1], an another kind of reduced form of characteristic matrices over a skew field is defined in this paper in a way different from that in [2], and the existence of the canonical form of a more wide class of characteristic matrices is thus established. Also, a generalization of the Cayley-Hamilton theorem to matrices over a skew field is given. |
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