Linear Algebra | Mathematics | MIT OpenCourseWare

This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices.

Overview

Added

March 18, 2026

Subject & domain

math · linear-algebra

Grade range

Grade 9 (Freshman)–Grade 12 (Senior)

Page kind

Course

Keywords

opencoursewareMIT OCWcoursewareMIT opencoursewareFree Coursesclass notesclass syllabusclass materialstutorialsonline coursesMIT courses

Introduction

Linear Algebra Course Overview

Subject Matter: Matrix theory and linear algebra.
Core Topics:
- Systems of equations
- Vector spaces
- Determinants
- Eigenvalues
- Similarity
- Positive definite matrices
Focus: Emphasis on practical applications useful in other academic disciplines.
Available Learning Resources:
- Lecture videos
- Problem sets and solutions
- Exams and exam solutions
- Instructor insights

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