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所在平台: Udemy |
课程主页: https://www.udemy.com/course/algebra-vectors-and-matrices-in-mathematics/
课程评论：没有评论
**课程名称：**数学中的代数（向量与矩阵） **课程概述：** 本课程由拥有科学博士学位并从事软件开发的Alison讲授。 Alison善于清晰、逻辑性强、结构化的方式讲解复杂的科学问题，并会将数学、化学、物理和编程知识融入课程。本课程专注于教授数学中的代数概念，特别是向量和矩阵。 **课程内容：** 1. **向量介绍：** 学习向量的定义、性质，以及如何在二维和三维空间中表示向量，并了解单位向量的概念。 2. **向量的线性组合：** 掌握向量线性组合的定义，以及如何解决向量独立或相关的线性组合方程。 3. **矩阵介绍：** 通过实例引入矩阵的概念，帮助理解。 4. **矩阵运算：** 学习如何计算矩阵的转置、行列式和伴随矩阵，并辅以例题。 5. **特征值与特征向量：** 深入理解矩阵的特征值和特征向量，并学习其计算方法。 6. **利用特征值和特征向量求矩阵对角线：** 学习如何通过特征值和特征向量来实现矩阵的对角化。 **讲师特点：** Alison是一位善于解决复杂问题的分析型人才，拥有科学背景和博士学位。她致力于以清晰、逻辑和系统的方式传授知识，并在每个主题中都包含实例或练习，以帮助学习者更好地理解和掌握。她鼓励学习者提供反馈，以便改进课程内容。 **学习目标：** 本课程旨在帮助学习者掌握向量和矩阵的基本概念、性质以及相关运算，理解特征值与特征向量的应用，并最终学会如何利用它们对矩阵进行对角化。
Hi!My name is AlisonI'm an analytical person with a science background, that has a passion for complex problem solving. I have a PhD in Science and I currently work as a Software Developer.I'm here to teach you Maths, Chemistry, Physics and Programming.I present my courses in a clear, logical and structured way. For every topic, I also include an example or exercise to make sure that it is clear and easy to understand.Please send me your feedback and let me know if you have any comments, questions or suggestions. I may be able to prepare a course that interests you.In this specific course we will learn various concepts about algebra in mathematics 1) First, we will introduce what is a vector, its properties and how we can represent it in both one and three dimensions. We will also talk about unit vectors. 2) Afterwards, we will explain what is a linear combination of vectors and how we can solve these equations if the vectors are independent or dependent. 3) The we will introduce what is a matrix with an example to understand this 4) We will learn how to calculate the transpose, determinant and adjoint of a matrix with examples 5) Then, we will explain what are the eigenvalues and eigenvectors of a matrix as well as how we can calculate them 6) Finally, I will show you how we can obtain the diagonal of a matrix using the eigenvalues and eigenvectors I hope you enjoy this course, find it easy and learn a lot with meGood luck and see you soonAlison
