Author	Smith, Larry. author
Title	Linear Algebra [electronic resource] / by Larry Smith
Imprint	New York, NY : Springer US, 1984
Edition	Second Edition
Connect to	http://dx.doi.org/10.1007/978-1-4684-0252-0
Descript	VIII, 364 p. online resource

In the second edition of this popular and successful text the number of exercises has been drastically increased (to a minimum of 25 per chapter); also a new chapter on the Jordan normal form has been added. These changes do not affect the character of the book as a compact but mathematically clean introduction to linear algebra with particular emphasis on topics that are used in the theory of differential equations

1 Vectors in the plane and space -- 2 Vector spaces -- 3 Subspaces -- 4 Examples of vector spaces -- 5 Linear independence and dependence -- 6 Bases and finite-dimensional vector spaces -- 7 The elements of vector spaces: a summing up -- 8 Linear transformations -- 9 Linear transformations: some numerical examples -- 10 Matrices and linear transformations -- 11 Matrices -- 12 Representing linear transformations by matrices -- 12bis More on representing linear transformations by matrices -- 13 Systems of linear equations -- 14 The elements of eigenvalue and eigenvector theory -- 14bis Multilinear algebra: determinants -- 15 Inner product spaces -- 16 The spectral theorem and quadratic forms -- 17 Jordan canonical form -- 18 Applications to linear differential equations -- List of notations