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所在平台: Udemy |
课程主页: https://www.udemy.com/course/matrices-determinants/
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课程名称：商业统计与数据分析中的矩阵与行列式 课程概述： 本课程介绍了矩阵的基本概念和应用。矩阵是数字在行和列中排列的方式，可以是矩形或方形阵列。矩阵在多个领域中都具有重要的应用，是线性代数的基础。矩阵的垂直元素称为列，水平元素称为行，矩阵的阶数由其行数和列数决定。例如，一个具有2行3列的矩阵为2×3矩阵。具有相同数量行和列的矩阵称为方阵，尤其受到关注。方阵在解决线性方程组、图论中的路径寻找以及群论（特别是表述理论）等多个领域中有广泛应用。此外，矩阵在表示线性变换和行操作方面也极为重要。 在本课程中，将讨论矩阵的以下应用： 1. 矩阵的基本类型 2. 矩阵加法和减法的应用 3. 矩阵乘法的应用 4. 使用克莱姆法则和逆方法求解线性方程组 5. 莱昂提夫投入-产出模型 6. 高斯-约旦模型 本课程适合对商业统计与数据分析有兴趣的学习者，旨在通过理解矩阵的相关知识，提升学员在数据分析中的技能。
A matrix is a arrangement of numbers in rows and columns. Matrices may be rectangular array or square array. Matrices are useful in a variety of fields and form the basis for linear algebra. Generally, in a matrix, the vertical elements are termed as columns and the horizontal elements are termed as rows. The order of a matrix is measured in the number of rows and columns the matrix has. The above matrix, for instance, has 2 rows and 3 columns, and thus it is of order 2×3 matrix. Matrices that have the same number of rows as columns are called square matrices and are of particular interest. Their applications include solving systems of linear equations, path-finding in graph theory, and several applications in group theory (especially representation theory). They are also extremely useful in representing linear transformations and row operations. oncept in the field of linear algebra. The subject of matrices has been researched and expanded by the works of many researchers and prominent mathematicians, who have found numerous applications of matrices in various disciplines such as Economics, Engineering, Statistics and various other sciences. In this course, the following applications to matrices will be discussed:Basic Types of MatricesApplications of Matrix Addition and Subtraction Applications of Multiplication of Matrices Applications of System of Linear Equations using Cramers Rule and Inverse MethodLeontief Input-Output ModelGauss Jordan Model
