A First Course in Linear Algebra

Covers systems of equations, vectors, matrices, determinants, eigenvalues, and linear transformations with detailed examples and exercises. Ideal for building a strong foundation in linear algebra.

Robert A. Beezer

An engaging undergraduate textbook that starts with organizing information and builds through systems of equations, vector spaces, eigenvalues, and the simplex method.

David Cherney, Tom Denton, Rohit Thomas, Andrew Waldron

Develops linear algebra from linear equations and matrices through vector spaces, fields, determinants, eigenvalues, and canonical forms. Includes LU and LPDU factorization.

James B. Carrell

Concise lecture notes covering vectors, matrices, elimination, factorization, orthogonality, determinants, and eigenvalues. Includes Python exercises for computational practice.

Janis Lazovskis