|
所在平台: Udemy |
课程主页: https://www.udemy.com/course/matrix-algebra-explained/
课程评论：没有评论
**课程名称：** 矩阵代数入门 **课程概述：** 本课程专注于掌握矩阵代数的基础知识，为学习线性代数入门级内容奠定坚实基础，但并非线性代数课程本身。 **课程内容涵盖：** * **线性方程组的求解：** * 高斯消元法 * 高斯-约旦消元法 * **增广矩阵的变换：** * 行阶梯形 * 简化行阶梯形 * **矩阵运算：** * 矩阵加法 * 矩阵减法 * 标量与矩阵的乘法 * 矩阵乘法 * **矩阵求逆：** * 通过行变换求逆矩阵 * 通过行列式和伴随矩阵求逆矩阵 * **利用矩阵方程求解线性系统（使用逆矩阵）** * **行列式的计算：** * 拉普拉斯展开法 * 3x3矩阵的行列式（简便方法） * 4x4上三角矩阵的行列式（简便方法） * **矩阵的其他运算：** * 矩阵转置 * 伴随矩阵（代数余子式） * **克莱默法则：** * 2x2线性系统的求解 * 3x3线性系统的求解 * **行列式的应用：** * 计算三角形面积 * 判断共线性 * 利用行列式求解直线方程 **本课程旨在使您熟练掌握矩阵代数的核心概念和基本运算。**
In this course, you will master the basics of matrices in algebra. While this is not a linear algebra course, it will serve to get you up to speed with most of the entry level topics taught in a linear algebra course. In this course, you will learn the following:How to Solve Linear Systems Using Gaussian EliminationHow to Solve Linear Systems Using Gauss-Jordan EliminationHow to Place an Augmented Matrix in Row Echelon FormHow to Place an Augmented Matrix in Reduced Row Echelon FormHow to Add MatricesHow to Subtract MatricesHow to Multiply a Matrix by a ScalarHow to Multiply MatricesHow to Find the Inverse of a Matrix using Row ReductionHow to Solve Linear Systems using Matrix Equations (Using the Inverse of a Matrix)How to Find the Determinant of a Matrix Using Laplace ExpansionHow to Find the Determinant of a 3 x 3 Matrix Using the ShortcutHow to Find the Determinant of a Matrix in Upper Triangular Form 4 x 4 ShortcutHow to Find the Transpose of a MatrixHow to Find the Classical Adjoint (Adjugate of a Matrix)How to Find the Inverse of a Matrix Using the Determinant and the Adjoint (Adjugate)How to Solve a 2 x 2 Linear System Using Cramer's RuleHow to Solve a 3 x 3 Linear System Using Cramer's RuleApplications of Determinants - Finding the Area of a TriangleApplications of Determinants - Testing for CollinearityApplications of Determinants - Finding the Equation of a Line Using Determinants
