# Intro to Linear Algebra

 Item Date Lecture Notes Textbook: There is no textbook. I will post all lecture notes on this webpage. For supplementary reading I recommend Gilbert Strang's Introduction to Linear Algebra (any edition). Lecture: 12:30-1:45 TuTh on Zoom Office Hours: 1:45-2:30 after the lectures, and by appointment Here is the course syllabus. Here is an article by Alan Tucker (1993) on The Growing Importance of Linear Algebra in Undergraduate Mathematics. Quote: This author is personally a bit frustrated that calculus gets all of the first year and half of the second year of the lower-divison core mathematics sequence. Hopefully early in the next century, there will be a 'redistricting' of the lower- division mathematics sequence and linear algebra will get equal time with calculus. Homework 1 Solutions Thurs, Sept 3 Points vs. Vectors Lengths and Angles Three Vector Operations Handout: Rules of Vector Arithmetic HW1 Hints, Rules of Vector Arithmetic, Examples Lines in the Plane HW1 Discussion Quiz1 Examples Solutions Tues, Sept 8 20 minutes at the beginning of class Homework 2 Solutions Thurs, Sept 17 Planes in Space Two Lines in the Plane, Two Planes in Space Three Planes in Space HW2 Discussion, Small Determinants Quiz2 Solutions Tues, Sept 22 20 minutes at the beginning of class Homework 3 Solutions Thurs, Oct 1 Dimension Principle, 2 Equations in 4 Unknowns Introduction to RREF Gaussian Elimination for Computers HW2 Discussion, Orthogonal Subspaces Quiz3 Solutions Tues, Oct 6 20 minutes at the beginning of class Homework 4 Solutions Thurs, Oct 22 Matrix X Column Linear Functions, Matrix X Matrix Matrix Multiplication, Inverse Matrices Rules of Matrix Arithmetic, Computing Inverses HW4 Discussion Handout: Rules of Matrix Arithmetic Quiz4 Solutions Tues, Oct 27 20 minutes at the beginning of class Homework 5 Solutions Thurs, Nov 5 Introduction to Least Squares Projection onto a Subspace HW5 Discussion, Review HW5 Discussion, Four Fundamental Subspaces Quiz5 Solutions Tues, Nov 10 20 minutes at the beginning of class Homework 6 Solutions Thurs, Nov 19 Introduction to Diagonalization Eigenvalues and Eigenvectors More Eigenvalues and Eigenvectors HW6 Discussion, Grand Finale Final Project Tues, Dec 1 Details to come