Linear algebra/
Larry Smith
- 3rd ed.
- New York: Springer, c1998.
- xii, 452 p. ; 24 cm.
- (Undergraduate texts in mathematics) .
Vectors in the plane and space -- Vector spaces -- Examples of vector spaces -- Subspaces -- Linear independence and dependence -- Finite dimensional vector spaces and bases -- The elements of vector spaces -- A summing up -- Linear transformations -- Linear transformations : examples and applications -- Linear transformations and matrices -- Representing linear transformations by matrices -- More on representing linear transformations by matrices -- Systems of linear equations -- The elements of eigenvalue and eigenvector theory -- Inner product spaces -- The spectral theorem and quadratic forms -- Jordan canonical form -- Application to differential equations -- The similarity problem -- Multilinear algebra and determinants -- Complex numbers.