| 克拉默法则的一个简单证明及其推广 |
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| 引用本文： | 陈成钢.克拉默法则的一个简单证明及其推广[J].天津农学院学报,2013(3):42-44. |
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| 作者姓名： | 陈成钢 |
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| 作者单位： | 天津城建大学理学院,天津,300384 |
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| 基金项目： | 天津市教委2012年重点教改课题“‘卓越计划’下数理基础课程教学改革的研究与实践” |
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| 摘 要： | 给出了线性代数教科书中克拉默法则的一个简单证明。对于系数矩阵4是方阵的线性方程组Ax=b，当其有唯一解的时候，能利用克拉默法则求解。但当彳不是方阵，克拉默法则则无法求解，其实利用矩阵秩的理论可以将克拉默法则进行推广，使其能求解任意有唯一解的线性方程组。
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| 关 键 词： | 线性方程组 唯一解 克拉默法则 秩 |
A Simple Proof of Cramer Rule and Its Promotion |
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| CHEN Cheng-gang.A Simple Proof of Cramer Rule and Its Promotion[J].Journal of Tianjin Agricultural College,2013(3):42-44. |
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| Authors: | CHEN Cheng-gang |
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| Institution: | CHEN Cheng-gang (Department of Sciences, Tianjin Chengjian University, Tianjin 300384, China) |
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| Abstract: | It is given a simple proof of Cramer Rule in Linear Algebra textbooks. As we all know, system of linear equations can be solved by means of Cramer Rule when its coefficient matrix is a square matrix and it has a single solution. But it is powerless for Cramer Rule to solve when its coefficient matrix isn＇t a square matrix. So, it is promoted Cramer Rule to solve the arbitrary system of linear equations as. long as it has a single solution. |
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| Keywords: | system of linear equations single solution cramer rule rank |
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