中Unlock the powerful world of Machine Learning and Artificial Intelligence with our comprehensive, hands-on course on Linear Algebra. This course serves as an essential stepping stone for aspiring data scientists, AI practitioners, software developers, and tech enthusiasts eager to build a solid mathematical foundation for these high-demand fields.
Linear Algebra for Machine Learning & AI
您将学到什么
Analyse and evaluate complex data structures using advanced linear algebra techniques.
Implement sophisticated algorithms and apply advanced techniques to optimise and improve machine learning models.
Synthesise and apply mathematical theories to solve complex real-world problems.
Evaluate and develop innovative solutions using linear programming to address complex challenges in machine learning and AI systems.
您将获得的技能
要了解的详细信息
可分享的证书
添加到您的领英档案
最近已更新！
August 2025
作业
127 项作业
授课语言：英语（English）
了解顶级公司的员工如何掌握热门技能
积累特定领域的专业知识
本课程是 Mathematics for Engineering 专项课程 专项课程的一部分
在注册此课程时，您还会同时注册此专项课程。
- 向行业专家学习新概念
- 获得对主题或工具的基础理解
- 通过实践项目培养工作相关技能
- 获得可共享的职业证书
该课程共有10个模块
In this module, you will be introduced to linear system of equations and matrices. You will also learn about the properties of matrices and operations like addition and multiplication. Finally, the module also discusses determinants and its elementary properties.
涵盖的内容
14个视频5篇阅读材料12个作业1个插件
In this module, you will learn how to solve a system of linear equations and describe their nature of solutions. You will define the criteria to determine the consistency of linear systems, a concept that would help you determine the nature of solutions. Lastly, you will also gain insight into analytical methods such as the Gauss elimination method, matrix inversion method, and Cramer’s rule.
涵盖的内容
14个视频3篇阅读材料14个作业
In this module, you will learn about vector spaces. The concepts required to characterise vector spaces, such as linear dependence, linear independence, linear span, basis, and dimension will be discussed in detail. You will also learn linear transformation and its properties, including the rank–nullity theorem.
涵盖的内容
18个视频5篇阅读材料17个作业1个插件
In this module, you will learn how to determine eigenvalues and the corresponding eigenvectors of square matrices. Certain properties of eigenvalues and eigenvectors pertaining to special matrices would be explained in detail after introducing the necessary concepts on complex numbers. You will also gain insight into computing eigenvalues numerically using the Power method.
涵盖的内容
9个视频3篇阅读材料9个作业
In this module, you will explore the methods of solving a linear system numerically. You will also learn methods such as decomposition methods and iterative methods, namely Gauss–Seidel and Jacobi methods, to compute solutions of linear systems.
涵盖的内容
12个视频3篇阅读材料11个作业1个插件
In this module, you will learn about the formulation of Linear Programming Problems (LPP) using practical applications. You will also gain insight into the concepts of objective function and constraints.
涵盖的内容
11个视频4篇阅读材料11个作业1个插件
In this module, you will learn about the graphical solution of linear programming problems with two decision variables and the basic concepts of convex sets and application to Linear Programming Problems.
涵盖的内容
16个视频4篇阅读材料15个作业
In this module, you will learn to solve an LPP algebraically by using a procedure called the simplex method. You will also be introduced to the concepts of slack and surplus variables, basic solution, and basic feasible solution. Lastly, you will learn to construct Simplex Tableau using matrix manipulation.
涵盖的内容
15个视频3篇阅读材料14个作业
In this module, you will learn the concept of artificial variables. You will also learn M-method and Two-Phase method for solving LPP. You will recognize various special cases such as unboundedness, infeasibility, and alternate optima.
涵盖的内容
12个视频3篇阅读材料11个作业
In this module, you will learn the construction of a dual problem and the relationship between primal and dual. You will also learn the procedure of the dual simplex method.
涵盖的内容
13个视频3篇阅读材料13个作业
获得职业证书
将此证书添加到您的 LinkedIn 个人资料、简历或履历中。在社交媒体和绩效考核中分享。
位教师
从 Machine Learning 浏览更多内容
状态：免费试用DeepLearning.AI
状态：预览Korea Advanced Institute of Science and Technology(KAIST)
状态：预览IIT Roorkee
状态：免费试用University of Colorado Boulder
人们为什么选择 Coursera 来帮助自己实现职业发展
Felipe M.
自 2018开始学习的学生
''能够按照自己的速度和节奏学习课程是一次很棒的经历。只要符合自己的时间表和心情，我就可以学习。'
Jennifer J.
自 2020开始学习的学生
''我直接将从课程中学到的概念和技能应用到一个令人兴奋的新工作项目中。'
Larry W.
自 2021开始学习的学生
''如果我的大学不提供我需要的主题课程，Coursera 便是最好的去处之一。'
Chaitanya A.
''学习不仅仅是在工作中做的更好：它远不止于此。Coursera 让我无限制地学习。'
常见问题
To access the course materials, assignments and to earn a Certificate, you will need to purchase the Certificate experience when you enroll in a course. You can try a Free Trial instead, or apply for Financial Aid. The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.
When you enroll in the course, you get access to all of the courses in the Specialization, and you earn a certificate when you complete the work. Your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile.
Yes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page.
更多问题
提供助学金，