Linear Algebra with Applications View more

Delve into the abstract depths of linear algebra: vector spaces, determinants, eigenvalues, wedge products, and more.

Book 41 Lessons

Course description

Linear algebra plays a crucial role in many branches of applied science and pure mathematics. This course covers the core ideas of linear algebra and provides a solid foundation for future learning.

Using geometric intuition as a starting point, the course journeys into the abstract aspects of linear algebra that make it so widely applicable. By the end you'll know about vector spaces, linear transformations, determinants, eigenvalues & eigenvectors, tensor & wedge products, and much more.

Topics covered

  • Bases
  • Determinants
  • Diagonalizable Matrices
  • Eigenvalues and Eigenvectors
  • Gaussian Elimination
  • Gram-Schmidt Process
  • Inner Products
  • Inverses
  • Linear Independence
  • Linear Transformations
  • Matrices
  • Subspaces
  • Tensors & Tensor Products
  • Vector Spaces

Prerequisites and next steps

A basic understanding of calculus and linear equations is necessary.