| 二阶分块阵的初等变换求逆 |
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| 引用本文： | 郭华.二阶分块阵的初等变换求逆[J].重庆工商大学学报(自然科学版),2001,18(3):85-88. |
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| 作者姓名： | 郭华 |
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| 作者单位： | 渝州大学,数学与计算机科学系,重庆,400033 |
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| 摘 要： | 将矩阵的初等变换、初等方阵的定义推广到二阶分块阵上,给出了用推广的初等变换求逆的依据,并求出了各种形式的二阶可逆分块阵的逆阵公式.
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| 关 键 词： | 二阶分块阵 可逆阵 初等变换 初等方阵 |
| 文章编号： | 1006-3293(2001)03-0085-04 |
| 修稿时间： | 2001年3月19日 |
The Attainment of the Inverse of 2 × 2 Block Matrix with Elementary Transformation |
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| GUO Hua.The Attainment of the Inverse of 2 × 2 Block Matrix with Elementary Transformation[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2001,18(3):85-88. |
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| Authors: | GUO Hua |
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| Abstract: | In the paper, the author populizes the definition of th e elementary tr ansformation and that of the elementary square matrix into 2~{!A~}2 block matrix. Th e author gives out the basis for the attainment of an inverse matrix with the po pulized elementary transformation. The author also shows the forms of inverse of 2~{!A~}2 invertible block matrices with varieties of forms. |
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| Keywords: | A2 block matrix invertible matrix elementary transform ation elementary square matrix |
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