Videos made by Tom teaching the University of Oxford Linear Algebra course.

Oxford Linear Algebra: Gram-Schmidt Process

Oxford Linear Algebra: Inner Product Space

Oxford Linear Algebra: Rank Nullity Theorem

Oxford Linear Algebra: Linear Transformations Explained

Oxford Linear Algebra: Direct Sum of Vector Spaces

Oxford Linear Algebra: Dimension Formula for Vector Spaces

Oxford Linear Algebra: Basis, Spanning and Linear Independence

Oxford Linear Algebra: Subspace Test

Oxford Linear Algebra: What is a Vector Space?

Oxford Linear Algebra: Spectral Theorem Proof

Oxford Linear Algebra: Eigenvalues and Eigenvectors Explained

Oxford Linear Algebra: The Easiest Way to Calculate Determinants

Oxford Linear Algebra: What is the Determinant Function for a Matrix?

Oxford Linear Algebra: How to find a Matrix Inverse using ERO’s (Elementary Row Operations)

Oxford Linear Algebra: Elementary Row Operations (EROs) Explained