Week 3

Entering new spaces: Determinants, vector spaces and subspaces

3.1: Determinants

Determinants are a fundamental concept in linear algebra that play a crucial role in understanding the properties of matrices and solving systems of linear equations.

These notes will guide you through the definition of determinants, their calculation for different sizes of matrices, and the connection between Gaussian elimination.

Vector spaces and subspaces are foundational concepts in linear algebra that form the basis more abstract vector ideas.

These notes will introduce you to the definition of vector spaces and subspaces, including the properties that define them, and how to prove or disprove their existence.

3.2: Vector spaces and subspaces

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 3 recitation slides and solutions!

Find out what was discussed last week or jump ahead to next week

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