• For Individuals
  • For Businesses
  • For Universities
  • For Governments
Coursera
  • Online Degrees
  • Careers
  • Log In
  • Join for Free
    Coursera
    • Browse
    • Matrix Algebra

    Matrix Algebra Courses Online

    Master matrix algebra for solving linear equations and transformations. Learn about matrix operations, vector spaces, and applications in science and engineering.

    Skip to search results

    Filter by

    Subject
    Required
     *

    Language
    Required
     *

    The language used throughout the course, in both instruction and assessments.

    Learning Product
    Required
     *

    Level
    Required
     *

    Duration
    Required
     *

    Skills
    Required
     *

    Subtitles
    Required
     *

    Educator
    Required
     *

    Explore the Matrix Algebra Course Catalog

    • Status: Free Trial
      Free Trial
      T

      The Hong Kong University of Science and Technology

      Software Engineering: Implementation and Testing

      Skills you'll gain: Acceptance Testing, Software Development Methodologies, Configuration Management, Debugging, Software Development Life Cycle, Software Testing, Software Engineering, Unified Modeling Language, Integration Testing, User Acceptance Testing (UAT), Unit Testing, System Implementation, Secure Coding, Test Case, Requirements Analysis, Agile Methodology

      4.6
      Rating, 4.6 out of 5 stars
      ·
      112 reviews

      Intermediate · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      U

      University of Colorado Boulder

      International Business and Culture

      Skills you'll gain: Global Marketing, Target Market, Market Opportunities, Organizational Structure, Marketing Strategies, Human Resources Management and Planning, B2B Sales, Cultural Diversity, Business, Cultural Sensitivity, Business-To-Consumer

      4.8
      Rating, 4.8 out of 5 stars
      ·
      109 reviews

      Beginner · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      U

      University of Colorado Boulder

      Introduction to Deep Learning

      Skills you'll gain: Deep Learning, Unsupervised Learning, Keras (Neural Network Library), Computer Vision, Image Analysis, Artificial Intelligence and Machine Learning (AI/ML), Artificial Neural Networks, Generative AI, Applied Machine Learning, Natural Language Processing, Python Programming, Performance Tuning

      Build toward a degree

      3.6
      Rating, 3.6 out of 5 stars
      ·
      31 reviews

      Intermediate · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      L

      LearnQuest

      Python Scripting for DevOps

      Skills you'll gain: Containerization, Package and Software Management, Unified Modeling Language, Software Testing, Docker (Software), Unit Testing, Plot (Graphics), Development Testing, CI/CD, Test Automation, Pandas (Python Package), Scripting, Data Modeling, NumPy, Programming Principles, Object Oriented Programming (OOP), Data Structures, Computer Programming, Python Programming, Command-Line Interface

      4
      Rating, 4 out of 5 stars
      ·
      201 reviews

      Beginner · Specialization · 3 - 6 Months

    • Status: Free Trial
      Free Trial
      I

      IBM

      AI Workflow: Business Priorities and Data Ingestion

      Skills you'll gain: Design Thinking, Data Science, Artificial Intelligence, Strategic Thinking, Data Pipelines, Data Validation, Data Processing, Workflow Management, Data Quality, Business Priorities, NumPy, IBM Cloud, Python Programming

      4.3
      Rating, 4.3 out of 5 stars
      ·
      164 reviews

      Intermediate · Course · 1 - 4 Weeks

    • I

      Instituto Tecnológico de Aeronáutica

      Introdução ao Controle Moderno

      Skills you'll gain: Control Systems, Engineering Analysis, Systems Analysis, Matlab, Systems Engineering, Simulation and Simulation Software, Mathematical Modeling, System Design and Implementation, Linear Algebra, Differential Equations, Mathematical Theory & Analysis

      4.8
      Rating, 4.8 out of 5 stars
      ·
      51 reviews

      Intermediate · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      A

      Alberta Machine Intelligence Institute

      Data for Machine Learning

      Skills you'll gain: Feature Engineering, Data Quality, Data Processing, Supervised Learning, Data Validation, Data Cleansing, Data Transformation, Verification And Validation, Applied Machine Learning, Machine Learning, Unsupervised Learning, Machine Learning Algorithms, Exploratory Data Analysis

      4.4
      Rating, 4.4 out of 5 stars
      ·
      98 reviews

      Intermediate · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      J

      Johns Hopkins University

      Precalculus: Periodic Functions

      Skills you'll gain: Trigonometry, Systems Of Measurement, Geometry, Mathematical Modeling, Graphing, Algebra, Applied Mathematics

      4.7
      Rating, 4.7 out of 5 stars
      ·
      106 reviews

      Beginner · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      U

      University of Illinois Urbana-Champaign

      Taxation of Business Entities II: Pass-Through Entities

      Skills you'll gain: Partnership Accounting, Tax Compliance, Tax Returns, Income Tax, Corporate Tax, Tax Laws, Tax Planning, Strategic Decision-Making, Organizational Structure, Ethical Standards And Conduct

      Build toward a degree

      4.8
      Rating, 4.8 out of 5 stars
      ·
      88 reviews

      Intermediate · Course · 1 - 3 Months

    • Status: Free
      Free
      C

      Coursera Project Network

      Project Management: Creating the WBS

      Skills you'll gain: Work Breakdown Structure, Project Scoping, Project Estimation, Organizational Structure, Scope Management, Project Coordination, Project Management Software, Google Sheets, Standard Operating Procedure

      4.6
      Rating, 4.6 out of 5 stars
      ·
      536 reviews

      Beginner · Guided Project · Less Than 2 Hours

    • U

      University of Michigan

      قيادة الفرق

      Skills you'll gain: Team Management, Team Building, Team Leadership, Teamwork, Team Performance Management, Team Motivation, Conflict Management, Collaboration, Performance Improvement, Organizational Structure, Innovation, Diversity and Inclusion, Decision Making

      4.8
      Rating, 4.8 out of 5 stars
      ·
      706 reviews

      Mixed · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      S

      SAS

      Preparing for the SAS Programming Certification Exam

      Skills you'll gain: Data Manipulation, Data Access, Data Import/Export, SAS (Software), Microsoft Excel, Data Analysis, Data Transformation, Debugging

      4.8
      Rating, 4.8 out of 5 stars
      ·
      139 reviews

      Intermediate · Course · 1 - 3 Months

    Matrix Algebra learners also search

    Abstract Algebra
    Physics
    Quantum
    Quantum Physics
    Theoretical Computer Science
    Quantum Computing
    Calculus
    Mathematics
    1…373839…84

    In summary, here are 10 of our most popular matrix algebra courses

    • Software Engineering: Implementation and Testing: The Hong Kong University of Science and Technology
    • International Business and Culture: University of Colorado Boulder
    • Introduction to Deep Learning: University of Colorado Boulder
    • Python Scripting for DevOps: LearnQuest
    • AI Workflow: Business Priorities and Data Ingestion: IBM
    • Introdução ao Controle Moderno: Instituto Tecnológico de Aeronáutica
    • Data for Machine Learning: Alberta Machine Intelligence Institute
    • Precalculus: Periodic Functions: Johns Hopkins University
    • Taxation of Business Entities II: Pass-Through Entities: University of Illinois Urbana-Champaign
    • Project Management: Creating the WBS: Coursera Project Network

    Skills you can learn in Machine Learning

    Python Programming (33)
    Tensorflow (32)
    Deep Learning (30)
    Artificial Neural Network (24)
    Big Data (18)
    Statistical Classification (17)
    Reinforcement Learning (13)
    Algebra (10)
    Bayesian (10)
    Linear Algebra (10)
    Linear Regression (9)
    Numpy (9)

    Frequently Asked Questions about Matrix Algebra

    Matrix algebra is a branch of mathematics that deals with the manipulation and study of matrices. Matrices are rectangular arrays of numbers or symbols arranged in rows and columns. In matrix algebra, various operations such as addition, subtraction, multiplication, and division are performed on matrices to solve mathematical equations and systems of equations. This branch of algebra is widely used in many fields, including computer science, physics, engineering, and economics, as it provides a powerful tool for representing and solving complex mathematical problems.‎

    To effectively learn Matrix Algebra, you should focus on developing the following skills:

    1. Understanding Linear Algebra Basics: Before delving into Matrix Algebra, it is essential to have a strong foundation in linear algebra concepts such as vectors, vector spaces, and systems of linear equations.

    2. Matrix Operations: Familiarize yourself with matrix operations such as addition, subtraction, multiplication, and division. Also, learn about matrix properties like transpose, inverse, and determinant.

    3. Solving Systems of Linear Equations: Matrix Algebra is often used to solve systems of linear equations. Practice solving these systems using matrix methods like Gaussian elimination, LU decomposition, or inverse matrix techniques.

    4. Eigenvalues and Eigenvectors: Gain an understanding of eigenvalues and eigenvectors, which are crucial concepts in Matrix Algebra. These concepts are commonly used in various fields, including computer science, physics, and engineering.

    5. Matrix Decomposition: Learn about different matrix decomposition techniques like QR decomposition, Cholesky decomposition, and Singular Value Decomposition (SVD). These methods help in simplifying complex calculations and analyzing matrices.

    6. Matrix Calculus: Familiarize yourself with the basics of matrix calculus. The derivative and gradient of a function involving matrices are essential concepts to understand for advanced applications like optimization or machine learning algorithms.

    7. Real-world Applications: Apply Matrix Algebra to real-world problems and applications. This could include areas such as computer graphics, data analysis, machine learning, and network analysis.

    Remember, mastering Matrix Algebra takes time and practice. Utilize online resources, textbooks, video tutorials, and interactive courses to enhance your understanding and gain hands-on experience with matrix operations.‎

    Having skills in Matrix Algebra can qualify individuals for a wide range of job opportunities across various industries. Some potential job roles include:

    1. Data Scientist: Matrix Algebra is fundamental for data manipulation, statistical analysis, and advanced machine learning techniques. Data scientists use matrix operations to process and analyze large sets of data, uncover patterns and insights, and build predictive models.

    2. Financial Analyst: Financial institutions heavily rely on Matrix Algebra for portfolio management, risk assessment, and asset pricing. Financial analysts utilize matrix algebra to analyze financial data, create financial models, and assess investment opportunities.

    3. Actuary: Actuaries assess and manage risks in various industries, such as insurance, finance, and healthcare. Matrix Algebra is a vital tool for actuarial calculations, including determining insurance premiums, projecting financial risks, and assessing the impact of potential events or incidents.

    4. Software Engineer: Matrix Algebra is utilized in various fields of computer science, including computer graphics, cryptography, and machine learning. Software engineers use matrix operations for tasks like image and signal processing, data compression, and algorithm design.

    5. Operations Research Analyst: Matrix Algebra enables operations research analysts to model complex systems, optimize processes, and make data-driven decisions. They apply matrix operations to solve optimization problems, schedule resources, and improve operational efficiency across industries like logistics, transportation, and manufacturing.

    6. Aerospace Engineer: Matrix Algebra is extensively used in the field of aerospace engineering for tasks such as flight control, structural analysis, and trajectory calculations. Aerospace engineers utilize matrices to enhance navigation systems, analyze fluid dynamics, and design efficient propulsion systems.

    7. Robotics Engineer: Matrix Algebra plays a crucial role in robotics applications, including robotic control, kinematics, and computer vision. Robotics engineers use matrix operations to manipulate and analyze sensor data, calculate robot motion, and design autonomous systems.

    These are just a few examples of the diverse job opportunities available for individuals with Matrix Algebra skills. By acquiring these skills, you can set yourself up for a promising career in fields ranging from data science to engineering.‎

    Matrix Algebra is best suited for individuals who have a strong foundation in basic algebra and a keen interest in mathematics. It is particularly beneficial for students pursuing degrees in mathematics, physics, engineering, computer science, or any field that involves data analysis, modeling, or optimization. Additionally, individuals who enjoy problem-solving, critical thinking, and logical reasoning will find Matrix Algebra to be a valuable subject to study.‎

    There are several topics related to Matrix Algebra that you can study. Some of these include:

    1. Matrix Operations: This topic covers various operations on matrices such as addition, subtraction, multiplication, and division.

    2. Determinants: Determinants are used to determine whether a matrix has an inverse and also play a crucial role in linear transformation and eigenvalues.

    3. System of Linear Equations: The study of matrices is closely linked to solving systems of linear equations. You can learn about Gaussian elimination, Cramer's rule, and other methods for solving these systems.

    4. Vector Spaces: Matrix algebra is applied in the study of vector spaces, which involves analyzing the properties of vectors, subspaces, basis, and dimension.

    5. Orthogonality and Inner Product Spaces: This topic explores concepts of orthogonality, inner products, and orthogonal projection in the context of matrices.

    6. Eigenvalues and Eigenvectors: Eigenvalues and eigenvectors play a significant role in linear transformations, diagonalization, and solving differential equations.

    7. Singular Value Decomposition: It is a method used to decompose a matrix into simpler components, aiding in data compression, image processing, and dimensionality reduction.

    8. Applications of Matrix Algebra: Matrix algebra finds practical applications in diverse fields such as physics, computer science, data analysis, optimization, and network analysis.

    To study these topics, you can explore online resources such as textbooks, video lectures, interactive courses, and educational platforms specializing in mathematics or data science.‎

    Online Matrix Algebra courses offer a convenient and flexible way to enhance your knowledge or learn new Matrix algebra is a branch of mathematics that deals with the manipulation and study of matrices. Matrices are rectangular arrays of numbers or symbols arranged in rows and columns. In matrix algebra, various operations such as addition, subtraction, multiplication, and division are performed on matrices to solve mathematical equations and systems of equations. This branch of algebra is widely used in many fields, including computer science, physics, engineering, and economics, as it provides a powerful tool for representing and solving complex mathematical problems. skills. Choose from a wide range of Matrix Algebra courses offered by top universities and industry leaders tailored to various skill levels.‎

    When looking to enhance your workforce's skills in Matrix Algebra, it's crucial to select a course that aligns with their current abilities and learning objectives. Our Skills Dashboard is an invaluable tool for identifying skill gaps and choosing the most appropriate course for effective upskilling. For a comprehensive understanding of how our courses can benefit your employees, explore the enterprise solutions we offer. Discover more about our tailored programs at Coursera for Business here.‎

    This FAQ content has been made available for informational purposes only. Learners are advised to conduct additional research to ensure that courses and other credentials pursued meet their personal, professional, and financial goals.

    Other topics to explore

    Arts and Humanities
    338 courses
    Business
    1095 courses
    Computer Science
    668 courses
    Data Science
    425 courses
    Information Technology
    145 courses
    Health
    471 courses
    Math and Logic
    70 courses
    Personal Development
    137 courses
    Physical Science and Engineering
    413 courses
    Social Sciences
    401 courses
    Language Learning
    150 courses

    Coursera Footer

    Technical Skills

    • ChatGPT
    • Coding
    • Computer Science
    • Cybersecurity
    • DevOps
    • Ethical Hacking
    • Generative AI
    • Java Programming
    • Python
    • Web Development

    Analytical Skills

    • Artificial Intelligence
    • Big Data
    • Business Analysis
    • Data Analytics
    • Data Science
    • Financial Modeling
    • Machine Learning
    • Microsoft Excel
    • Microsoft Power BI
    • SQL

    Business Skills

    • Accounting
    • Digital Marketing
    • E-commerce
    • Finance
    • Google
    • Graphic Design
    • IBM
    • Marketing
    • Project Management
    • Social Media Marketing

    Career Resources

    • Essential IT Certifications
    • High-Income Skills to Learn
    • How to Get a PMP Certification
    • How to Learn Artificial Intelligence
    • Popular Cybersecurity Certifications
    • Popular Data Analytics Certifications
    • What Does a Data Analyst Do?
    • Career Development Resources
    • Career Aptitude Test
    • Share your Coursera Learning Story

    Coursera

    • About
    • What We Offer
    • Leadership
    • Careers
    • Catalog
    • Coursera Plus
    • Professional Certificates
    • MasterTrack® Certificates
    • Degrees
    • For Enterprise
    • For Government
    • For Campus
    • Become a Partner
    • Social Impact
    • Free Courses
    • ECTS Credit Recommendations

    Community

    • Learners
    • Partners
    • Beta Testers
    • Blog
    • The Coursera Podcast
    • Tech Blog
    • Teaching Center

    More

    • Press
    • Investors
    • Terms
    • Privacy
    • Help
    • Accessibility
    • Contact
    • Articles
    • Directory
    • Affiliates
    • Modern Slavery Statement
    • Manage Cookie Preferences
    Learn Anywhere
    Download on the App Store
    Get it on Google Play
    Logo of Certified B Corporation
    © 2025 Coursera Inc. All rights reserved.
    • Coursera Facebook
    • Coursera Linkedin
    • Coursera Twitter
    • Coursera YouTube
    • Coursera Instagram
    • Coursera TikTok