MATH 220 COURSE DESCRIPTION: Matrices (2:2:0) Systems of linear equations; matrix algebra; eigenvalues and eigenvectors: linear systems of differential equations. PREREQUISITE: Math 110 or 140. TOPICS SYSTEMS OF LINEAR EQUATIONS AND MATRICES Introduction to Systems of Linear Equations Gaussian Elimination Matrices and Matrix Operations Inverses; Rules of Matrix Arithmetic Elementary Matrices; A Method for Finding Inverses Further Results on Systems of Equations and Invertibility Diagonal, Triangular, and Symmetric Matrices DETERMINANTS The Determinant Function Evaluating Determinants by Row Reduction Properties of the Determinant Function VECTORS IN 2-SPACE AND 3-SPACE Introduction to Vectors (Geometric) Norm of a Vector; Vector Arithmetic EUCLIDEAN VECTOR SPACES Euclidean n-Space Linear Transformations Properties of Linear Transformation GENERAL VECTOR SPACES Real Vector Spaces Subspaces Linear Independence Bases and Dimension Row Space, Column Space, and Nullspace Rank and Nullity EIGENVALUES AND EIGENVECTORS (Note: Consider only the case of distinct real eigenvalues.) Eigenvalues and Eigenvectors Diagonalization 12/16/94