September 26, 2024

Course Presentation

  1. Who is who
  2. How things will work during the course
  3. What tasks are expected from students
  4. How students will be evaluated
  5. What we will do during the sessions

Topics

  1. Vectors.
  2. Vector spaces.
  3. Linear independence.
  4. Generating set of a vector space.
  5. Basis and dimension of a vector space.
  6. Coordinates of a vector in a basis.

Homework

  1. Vectors, what even are they? (9:52)
  2. Linear combinations, span, and basis vectors (9:59)

Lecture Notes

Lecture Notes

Exercises

Exercises

Supplementary Content

  1. A 2020 Vision of Linear Algebra (video series). The Linear Algebra part of this course is very much inspired by the online lectures taught by Gilbert Strang. This is an ultra-condensed summary of everything that we will cover through sessions 1-10. Recommended as wide overview-recap.
  2. Independence, basis and dimension (13:19).
  3. Checking linear independence in practice (17:37)