“矩阵与变换”学习指导(二)

• 作 者: 陈向阳
• 出 处: 新高考(高二版)
• 发表日期: 2007年Z1期
• 关键词: 学习指导 数形结合思想 矩阵解 平面向量 逆矩阵 二元一次方程组 特征向量 几何变换 二阶矩 恒等变换

一、学习要求在学习“二阶矩阵与平面向量”、“几种常见的平面变换”、“变换的复合与矩阵的乘法”的基础上,理解二阶方阵的逆矩阵和特征向量等概念,能以变换和映射的观点理解线性方程组的意义;初步体会矩阵应用的广泛性,进一步体会代数与几何结合的数形结合思想。

First, learning requires understanding the inverse of the second-order square matrix on the basis of learning “second-order matrix and plane vectors,” “a few common plane transformations,” “transformation complexes, and matrix multiplications.” Concepts such as matrix and eigenvectors can understand the meaning of linear equations from the perspective of transformation and mapping; they have a preliminary understanding of the breadth of matrix applications, and further understanding of the combination of algebra and geometry.