# Intro to Linear Algebra

 Assignment Due Date Details Textbook: Introduction to Linear Algebra 4th Edition, by Gilbert Strang Office Hours: Monday 2:00--3:00 and Wednesday 3:00-4:00 Homework 1 Fri, Jan 25 Course Notes (Des)Cartesian Coordinates Vector Notation Lengths and Angles Dot Product Homework 2 Fri, Feb 1 Course Notes Equations = Geometric Objects Simultaneous Equations = Intersections Systems of Linear Equations "Parametrizing" the Solution Homework 3 Fri, Feb 8 Course Notes What is a Hyperplane? Row Picture and Column Picture The Idea of Elimination Reduced Row Echelon Form (RREF) Homework 4 Fri, Feb 15 Course Notes Matrix Notation is More Than Notation A Matrix is a Function Matrix Multiplication = Function Composition The Algebra of Matrices Homework 5 Fri, Feb 22 Course Notes The Cross Product When is a Matrix/Function Invertible? How to Compute the Inverse Exam 1 Solutions Fri, Mar 1 Total: 30 points A = 20-29 B = 13-19 C = 6-11 Homework 6 Some Solutions Fri, Mar 22 Course Notes Minimize the Distance from a Point to a Space Projecting a Point onto a Space Projection as a Matrix Projection as a Function Homework 7 Solutions Mon, Apr 1 Course Notes Least Squares Approximation Fitting a Line to Data Fitting Any Kind of Model to Data Matrices that Satisfy P^2=P and P^T=P Homework 8 Mon, Apr 8 Course Notes Eigenvalues and Eigenvectors The Characteristic Equation of a 2X2 Matrix Eigen-properties of Geometric Transformations Homework 9 Solutions Mon, Apr 15 Course Notes Matrices = Dynamical Systems Phase Portrait of a Dynamical System Fibonacci Numbers, etc. Exam 2 Solutions Fri, Apr 19 Total: 30 points A = 26-30 B = 18-25 C = 13-17 D = 7-12 After Exam 2 None Course Notes Google Summary Review Final Exam Mon, May 6 11:00 -- 1:30