线性代数中的一题多解

Multiple Solutions of Problem in Linear Algebra

线性代数解题灵活多变,通过对向量组的线性相关性和线性方程组等典型问题进行一题多解,结果表明:线性代数的各知识点之间有着千丝万缕的联系,相互渗透,解题方法灵活多变。通过对各种解法的比较分析,既能够既拓宽学生的解题思路,又能培养学生的开放性思维,从而加强了学生的综合解题能力。

In order to reveal the flexibility and variability of solving linear algebra problem,multiple solutions of problem on vector linear correlation and linear equations are analyzed through typical examples in this paper.The results show the connections among the elements of linear algebra are inextricable,and methods to solve linear algebra problem can be variable.With comparative analysis of various methods,students are able to promote competence to solve a problem,and develop an open mind,therefore enhance comprehensive ability to solve problems.