TY - BOOK AU - Smith, Larry TI - Linear algebra SN - 0387984550 U1 - 512.5 PY - 1998/// CY - New York PB - Springer KW - Linear Algebras KW - Mathematics N1 - 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 ER -