Springer International Publishing AG, 2017. — 393 p. — ISBN: 3319637924.
This self-contained, clearly written textbook on linear algebra is easily accessible for students. It begins with the simple linear equation and generalizes several notions from this equation for the system of linear equations and introduces the main ideas using matrices. It then offers a detailed chapter on determinants and introduces the main ideas with detailed proofs.
Matrices and Matrix Operations
Determinants
Euclidean Vector Spaces
General Vector Spaces
Linear Transformations
Linear Transformations andMatrices
Eigenvalues and Eigenvectors
OrthogonalMatrices and Quadratic Forms