Week 5
Harnessing matrices: Change of basis, rank/nullity theorem, linear transformations
5.1: Consequences of the rank/nullity theorem
From the Rank/Nullity theorem, we are able to arrive at one of the most foundational and expansive ideas in linear algebra: the Matrix Inverse Theorem.
In these notes, you’ll explore how the Rank-Nullity Theorem interplays with bases, determinants, inverses, and systems in the Matrix Inverse Theorem.
Linear transformations are a fundamental concept in linear algebra that describe how vectors in one vector space are mapped to vectors in another vector space.
In these notes, you’ll learn about the definition of linear transformations, how to represent them using matrices, and the key properties they possess.
5.2: Linear transformations
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 5 recitation slides and solutions!
Ryann Joseph 