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| 摘要: |
| 给出行反正交矩阵的概念，并讨论其行列式、可逆性、迹、特征值等问题，得到行反正交矩阵的行列式、逆矩阵、特征值与迹；并得出了以下主要结果：行反正交矩阵是行列对称矩阵，它本身以及它的行转置和列转置矩阵都是可逆矩阵；行反正交矩阵的转置矩阵以及它的行转置和列转置矩阵都仍是行反正交矩阵；行反正交矩阵的行转置矩阵的逆矩阵等于其逆矩阵的行转置，其列转置矩阵的逆矩阵等于其逆矩阵的列转置；它的行转置矩阵的转置等于其转置矩阵的行转置，它的列转置矩阵的转置等于其转置矩阵的列转置。 |
| 关键词: 正交矩阵 行反正交矩阵 行列对称矩阵 |
| DOI： |
| 分类号: |
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| Some Properties of Contrary Orthogonal Matrix |
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JIA Shu-wei,HE Cheng-yuan
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| Abstract: |
| This paper give the concept of contrary orthogonal matrix,discusses determinant, reversibility, trace, eigenvalue and so on , and obtains determinant,inverse matrix, eigenvalue and trace of contrary orthogonal matrix,meanwhile,draws the conclusion that… |
| Key words: orthogonal matrix contrary orthogonal matrix row symmetric matrix |
