Introduction to Linear Algebra View more

Get familiar with matrices, vectors, and more as you explore the theory and real-world applications of linear algebra.

Book 26 Lessons

Course description

Linear algebra is pervasive in just about all modern scientific subjects, including physics, mathematics, computer science, electrical engineering, economics, and aeronautical engineering. You’ll learn about its applications in computer graphics, signal processing, machine learning, RLC circuit analysis, and control theory.

By the end of this course, you’ll be able to solve systems of equations of all flavors and complexities using linear algebra, from a simple 2x2 matrix equation to much more complex systems involving many variables.

Topics covered

  • Bases
  • Determinants
  • Diagonalizable Matrices
  • Dot products
  • Eigenvalues and Eigenvectors
  • Gaussian Elimination
  • Inverses
  • Linear Independence
  • Linear Transformations
  • Matrices
  • Subspaces
  • Vector Spaces

Prerequisites and next steps

A basic understanding of calculus and linear equations is necessary.