Linear Algebra Done Right (Axler)

Sheldon Axler, Linear Algebra Done Right, 4th edition, Springer UTM, 2024. Open access — the free electronic edition lives at linear.axler.net.

The determinant-last treatment of linear algebra: vector spaces, linear maps, polynomials, eigenvalues and eigenvectors, inner product spaces, operators on inner product spaces, operators on complex and real vector spaces, multilinear algebra and determinants. Exercises per section (1A, 1B, …), no printed answers. The 4th edition renumbers and extends the 3rd edition’s exercise sets.

Solutions to every exercise live at Solutions to Axler’s Linear Algebra Done Right.