**Description :**Matrices(2) Systems of linear equations, matrix algebra , eigenvalues and eigenvectors , linear systems of differential equations**Prerequisites :**Math 110 or Math 140**Where :**New location 310 GS**When :**New time : MW 4:10 - 5:50 pm- Your instructor
- His office hours, teaching schedule, etc.
- Your Textbook
- Grading System
- Academic Integrity
**Inclement Weather :**In the event of inclement weather we will follow the campus delay schedule.**Resources on the Web :**

The Linear Algebra Toolkit: This is a link for basic matrix calculations. Shows step by step row operations and gives a tutorial on the method used.

The Matrix Calculator: Performs various calculations on a given matrix.

A simple solver for systems of linear equations (up to 20 equations)**Topics and Assignment Questions and Due Dates**

Systems of Linear Equations (3 lectures) 1.1 Introduction to Systems of Linear Equations 1.2 Gaussian Elimination and Gauss-Jordan Elimination 1.3 Applications of Systems of Linear equations 4,5,23,25,26,28 Matrices (5 lectures) 2.1 Operations with Matrices 4,6,14,28,36,62 2.2 Properties of Matrix Operations 8,10,26,38,41,56,58 2.3 The Inverse of a Matrix 10,12,14,26,31,34 Friday : Sept. 22 2.4 Elementary Matrices 4,6,8,14,16,18,24,42 ? 2.5 Applications of Matrix Operations 4,5,11,16,19,38 ? Determinants (5 lectures) 3.1 The Determinant of a Matrix 4,10,12,20,22,55 ? 3.2 Evaluation of a Determinant

Using Elementaty Operations8,10,12,20,22,26 ? 3.3 Properties of Determinants 8,10,20,26,28,36 ? 3.4 Introduction to Eigenvalues 2,4,10,12,14,16 ? 3.5 Applications of Determinants 4,11,12,26,28,38,44 ? Vector Spaces (7 lectures) 4.1 Vectors in R ^{n}10,18,29,30,35,36,37,38 ? 4.2 Vector Spaces 13,15,17,19,21,23,29 ? 4.3 Subspaces of Vector Spaces 7,8,9,10,11,12,16,18 ? 4.4 Spanning Sets and Linear Independence 2,6,8,11,20,21,35,36,37,38,41,42 ? 4.5 Basis and Dimension 26,28,32,33,46,47 ? 4.6 Rank of a Matrix and

Systems of Linear Equations8,10,12,17,19,22 ? 4.7 Coordinates and Change of Basis 4,8,18,30 ? Inner Product Spaces (4 lectures) 5.1 Length and Dot Product in R ^{n}8,10,24,26,54,58,60,62,64 ? 5.2 Inner Product Spaces 2,4,6,8,10,12,22,24,26,30 ? 5.3 Orthogonal Bases : Gramm-Schmidt Process 3,4,17,18,19,24 ? 5.4 Mathematical Models and

Least Square Analysis12,16,22,30 ? Eigenvalues and Eigenvectors (2 lectures) 7.3 Symmetric Matrices and

Orthogonal Diagonalization22,24,25 ? 7.4 Applications of Eigenvalues and Eigenvectors 14,16,18,28,34 ?

Zig Herzog; hgn@psu.edu

Send a Note to Zig Last revised: 08/22/06