| 二、三阶可逆矩阵可以相似对角化的几何条件 |
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| 引用本文： | 谢伟献.二、三阶可逆矩阵可以相似对角化的几何条件[J].大学数学,2009,25(3). |
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| 作者姓名： | 谢伟献 |
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| 作者单位： | 北京服装学院,基础课部,北京,100029 |
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| 基金项目： | 北京服装学院科研专项经费 |
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| 摘 要： | 从几何的角度给出了特征值不含1的二、三阶可逆矩阵可以相似对角化的一个充分条件和二、三阶可逆矩阵可以相似对角化的一个充分必要条件.
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| 关 键 词： | 仿射变换 不变直线 矩阵的相似对角化 |
Geometric Conditions under Which 2×2 and 3×3 Inverting Matrices Can Be Translated into Diagonal Forms |
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| XIE Wei-xian.Geometric Conditions under Which 2×2 and 3×3 Inverting Matrices Can Be Translated into Diagonal Forms[J].College Mathematics,2009,25(3). |
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| Authors: | XIE Wei-xian |
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| Institution: | Mathematics Group in Department of Basic Course;Beijing Institute of Clothing and Technology;Beijing 100029;China |
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| Abstract: | In view of geometry,we give a sufficient condition of 2×2 and 3×3 inverting matrices for which 1 isn't eigenvalue can be translated into diagonal forms and a sufficient and necessary condition of 2×2 and 3×3 inverting matrices can be translated into diagonal forms. |
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| Keywords: | affine transformation invariant straight line being translated into diagonal forms of matrices |
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