The complete set of slides for A 2020 Vision of Linear Algebra (PDF) (Intro through Part 5)

Slides for Part 6 (recorded in 2021): Finding the Nullspace: Solving Ax = 0 by Elimination (PDF)

Intro: A New Way to Start Linear Algebra

Part 1: The Column Space of a Matrix

Part 2: The Big Picture of Linear Algebra

Part 3: Orthogonal Vectors

Part 4: Eigenvalues and Eigenvectors

Part 5: Singular Values and Singular Vectors