Week 4
Basis of bases: Linear independence, basis and dimension
4.1: Linear independence, bases and dimension
With vector spaces inherently comes the idea of the linear independence of bases.
In these notes, you’ll explore properties like linear independence, span, basis, and dimension, and the concepts that define them.
The topic of change of basis and the rank/nullity theorem is essential for understanding how different bases for a single vector space can be related.
In these notes, you’ll learn how to calculate and/or use change of basis matrices, as well as be introduced to a critical conclusion: the rank/nullity theorem.
4.2: Change of basis, the rank/nullity theorem
Recitation Slides
Attend recitation! But in case you were staying up late the night before or you’re looking to last-minute study cram, here are Week 4 recitation slides and solutions!
Ryann Joseph 