Linear algebra: an introduction to abstract mathematics
Choice Reviews Online · 1994
Topics covered include: Sets and functions.- Groups and group homomorphisms.- Vector spaces and linear transformations.Dimension.- Matrices.- Representations of linear transformations.- Inner product spaces.- Determinants.- Eigenvalues and eigenvectors.- Triangulation and decompsition of endomorphisms. Supplementary chapters discuss the connection between linear algebra and multivariate calculus and introduce categories and functors.