Partial table of contents:; Systems of Linear Equations and Matrices; Introduction to Systems of Linear Equations; Gaussian Elimination; Homogeneous Systems of Linear Equations; Matrices and Matrix Operations; Rules of Matrix Arithmetic; Elementary Matrices and a Method of Finding A; Further Results on Systems and Equations and Invertibility; Determinants; The Determinant Function; Evaluating Determinants by Row Reduction; Properties of the Determinant Function; Cofactor Expansion: Cramer's Rule; Vectors in 2-Space and 3-Space; Introduction to Vectors (Geometric); Norm of a Vector; Vector Arithmetic; Dot Product; Projections; Cross Product; Lines and Planes in 3-Space; Vector Spaces; Euclidean n-Space; General Vector Spaces; Subspaces; Linear Independence; Basis and Dimension.
