# Intro to Linear Algebra

 Assignment Due Date Details Textbook: There is no textbook. All lecture notes will be posted right here. For further reading I recommend Gilbert Strang's Introduction to Linear Algebra or my lecture notes from a previous iteration of this course. Office Hours: Mondays 12-1, Thursdays 2-3, and by appointment. Homework 1 Solutions Fri, Jan 22 Course Notes Cartesian Coordinates Vectors: Algebra vs. Geometry Length, Distance, Angle Dot Product Homework 2 Solutions Wed, Feb 3 Course Notes One Equation = A Shape in Space System of Equations = Intersection of Shapes Expected Dimension of the Solution Parametrizing the Solution Homework 3 Solutions Wed, Feb 17 Course Notes What is a Hyperplane? Systems of Linear Equations The Row Picture and Column Picture Gaussian Elimination, RREF Homework 4 Solutions Mon, Feb 29 Course Notes The Matrix Notation: Ax = b A Matrix is a Function Matrix Multiplication = Function Composition Trick for Multiplying Matrices Exam 1 Review Notes 1A Solutions 1B Solutions Fri, Mar 4 Total: 30 points A = 25 and above B = 21 and above C = 8 and above Homework 5 Solutions Fri, Mar 25 Course Notes Fundamental Theorem of Linear Algebra Existence of Inverse Matrices Computation of Inverse Matrices Properties of Matrix Algebra Homework 6 Solutions Wed, Apr 6 Course Notes Fitting a Line to Data Projecting a Point onto a Line Projecting a Point onto a Subspace Least Squares Approximation Exam 2 Review Notes Practice Problems 2A Solutions 2B Solutions Fri, Apr 15 Total: 30 points A = 24 and above B = 16 and above C = 8 and above Homework 7 Solutions Wed, Apr 20 Course Notes Fibonacci Numbers Definition of Eigenvectors & Eigenvalues The Characteristic Equation The Idea of Spectral Analysis Final Exam Practice Exam Study Sheet Wed, Apr 27 2:00-4:30pm