This third edition of the successful outline in linear algebra--which sold more than 400,000 copies in its past two editions--has been thoroughly updated to increase its applicability to the fields in which linear algebra is now essential: computer science, engineering, mathematics, physics, and quantitative analysis. Revised coverage includes new problems relevant to computer science and a revised chapter on linear equations.Table of Contents: Chapter 1 Vectors in R and C, Spatial Vectors Chapter 2 Algebra of Matrices Chapter 3 Systems of Linear Equations Chapter 4 Vector Spaces Chapter 5 Linear Mappings Chapter 6 Linear Mappings and Matrices Chapter 7 Inner Product Spaces, Orthogonality Chapter 8 Determinants Chapter 9 Diagolnalization: Eigenvalues and Eigenvectors Chapter 10 Canonical Forms Chapter 11 Linear Functionals and the Dual Space Chapter 12 Bilinear, Quadratic, and Hermitian Forms Chapter 13 Linear Operators on Inner Product Spaces Chapter 14 Multilinear Products Chapter 15 List of Symbols