Catalog DescriptionMATRICES (2) Systems of linear equations; Matrix algebra;eigenvalues and eigenvectors; linear systems of differential equations.

Prerequisite: Math 110 or Math 140

Text: Elementary Linear Algebra, Larson/Edwards, Second Edition, Heath

CHAPTER 1 SYSTEMS OF LINEAR EQUATIONS
1.1  Introduction to Systems of Linear Equations
1.2  Gaussian Elimination and Gauss-Jordan Elimination

CHAPTER 2 MATRICES
2.1  Operations with Matrices
2.2  Properties of Matrix Operations
2.3  The Inverse of a Matrix
2.4  Elementary Matrices

CHAPTER 3 DETERMINANTS
3.1  The Determinant of a Matrix
3.2  Evaluation of a Determinant Using Elementary Operations
3.3  Properties of Determinants
3.4  Applications of Determinants

CHAPTER 4 VECTOR SPACES 
4.1  Vectors in 
4.2  Vector Spaces
4.3  Subspaces of Vector Spaces
4.4  Spanning Sets and Linear Independence
4.5  Basis and Dimension
4.6  Rank of a Matrix and Systems of Linear Equations
4.7  Coordinates and Change of Basis

CHAPTER 5 INNER PRODUCT SPACES
5.1  Length and Dot Product 
5.2  Inner Product Spaces
5.3  Orthonormal Bases: Gram-Schmidt Process

CHAPTER 7 		EIGENVALUES AND EIGENVECTORS
7.1  Eigenvalues and Eigenvectors
7.2  Diagonalization
7.3  Symmetric Matrices and Orthogonal Diagonalization
7.4  Systems of Linear Differential Equations