基于应用案例和几何意义的线性代数教学研究

【摘要】 文章讨论了在线性代数教学中引入实际应用案例和几何意义的重要性。在线性代数教学环节中给出应用案例和几何意义,有助于对抽象概念加深理解,提高学生分析问题和解决问题的能力。通过几个具体的应用案例解释了矩阵的数乘运算、矩阵乘法、逆矩阵、特征值和特征向量,并且给出了向量组线性相关性和线性方程解的几何意义的例子。更多还原

【Abstract】 This paper discusses the importance of introducing practical application cases and geometric meaning in the teaching of linear algebra, which is helpful to deepen the understanding of abstract concepts and improve students’ ability to analyze and solve problems. Through several concrete application cases, we explained the numerical multiplication operation of matrix, matrix multiplication, inverse matrix, eigenvalue and eigenvector of matrix, and we gave some examples of the geometric meaning to the linear dependence of vector group and the solutions of linear equations.更多还原