Advanced Linear Algebra
Vladimir Ivanov
Syllabus of the Course
Lecture 1 notes – Vector Spaces, Problem Set 1
Lecture 2 notes – Complex Numbers, Problem Set 2
Lecture 3 notes – Linear Independence, Problem Set 3
Lecture 4 notes – Basis of a Vector Space, Problem Set 4
Lecture 5 notes – Linear Maps, Problem Set 5
Lecture 6 notes – Matrices of Linear Maps, Problem Set 6
Recommended textbooks
- S. Friedberg, A. Insel, L. Spence, Linear Algebra.
- S. Axler, Linear Algebra Done Right.
- S. Roman, Advanced Linear Algebra
Additional resources.
- Youtube Linear Algebra course by Professor Steven Roman
- Youtube Advanced Linear Algebra course by Professor Matthew Macauley