Linear Algebra: An Introduction, Second Edition May 2026

: Introduces vectors, subspaces, linear independence, basis and dimension, and the rank of a matrix.

: Provides in-depth material on Determinants , Jordan Canonical Forms , and Markov Chains . Key Features and Pedagogy Linear Algebra: An Introduction, Second Edition

: Covers basic concepts, matrix multiplication, linear systems of equations, the inverse, and LU decomposition. : Introduces vectors

: Focuses on orthogonality, projections, the QR algorithm, and least-squares fit. basis and dimension

: Approximately two-thirds of the book requires only high-school algebra, though Chapter 4 requires some knowledge of calculus for its differential equations applications.