Elementary Linear Algebra With Applications by Howard Anton

With Applications

A clear, introductory text that develops the fundamentals of linear algebra through concrete computations and geometric intuition: systems of linear equations and Gaussian elimination, matrix algebra and determinants, vector spaces, bases and dimension, linear transformations, eigenvalues and eigenvectors with diagonalization, and orthogonality including inner product spaces and Gram–Schmidt. The treatment emphasizes problem-solving and applications—least squares, differential equations, Markov processes and other modeling contexts—while offering examples, exercises, and computational techniques to build mastery and link theory with practice.