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所在平台: Udemy |
课程主页: https://www.udemy.com/course/determinants-fundamentalcourseinlinearalgebra/
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课程名称：行列式：线性代数的基础 概述：行列式是线性代数的入门课程，涵盖了学习线性代数所需的所有基本知识。对于任何希望攻读科学或工程学位的学生来说，这门课程至关重要。本课程包含20多节讲座，视频讲解涵盖了行列式的基础知识，并提供20多个详细解决方案的例子，帮助学生在学习过程中的理解和测试。行列式是通过按照规定的规则将方阵元素及其余子式的乘积求和得到的标量量。它们有助于求出矩阵的伴随矩阵和逆矩阵。通过矩阵求逆的方法解决线性方程组需要应用这一概念。两个向量的叉积也可以通过行列式的计算轻松记忆。在本课程中，我们将学习不同阶数行列式的求解过程及其性质，并进行一些已解决的例子分析。行列式被视为矩阵的缩放因子，可以看作是矩阵拉伸与收缩的函数。行列式以方阵作为输入，并返回一个单一数字作为输出。课程《行列式：线性代数的基础》主要分为以下几个部分：行列式介绍、行列式展开、行列式的性质、行列式的乘法、行列式的微积分。
Determinants is the introductory course of Linear Algebra as it covers all the essentials for the study of Linear Algebra. This course is vital for any student wishing to pursue a degree in Science or Engineering.This 20+ lecture course includes video explanations of everything from Fundamental of Determinats, and it includes more than 20+ examples (with detailed solutions) to help you test your understanding along the way. Determinants are the scalar quantities obtained by the sum of products of the elements of a square matrix and their cofactors according to a prescribed rule. They help to find the adjoint, inverse of a matrix. Further to solve the linear equations through the matrix inversion method we need to apply this concept. The cross-product of two vectors is remembered easily through the calculation of determinants.In this course, let's learn more about the process of finding determinants of different orders and their properties, and we will work on a few solved examples.Determinants are considered as a scaling factor of matrices. They can be considered as functions of stretching out and the shrinking in of the matrices. Determinants take a square matrix as the input and return a single number as its output.Determinants: The Foundation of Linear Algebra is organized into the following sections: Introduction to DeterminantsDeterminants ExpansionProperties of DeterminantsMultiplication of DeterminantsDifferentiation and Integration of Determinants
