# Linear Algebra – MATH 2130

This course is an introduction to linear algebra. Topics we will cover include basic properties of systems of linear equations, matrices and matrix algebra, determinants, vector spaces, subspaces, linear independence of vectors, basis and dimension of subspaces, linear transformations, eigenvalues and eigenvectors of a matrix, orthogonality of vectors, inner product and length of vectors.

Ongoing course

Time: MWF 03:00-03:50PM
Location: Zoom
Office hours: MF 17:00 – 17:50PM (I will be available on Zoom)

Syllabus

Important messages

## About the first midterm exam – MATH 2130

The first midterm will be applied at September 30th. It will have two parts: first one during class and second one you will have 24h to submit your solution on Canvas. Here is a list of topics organized by their level of “forgiveness”, importance and other criteria I don’t remember:

Hello everyone! I’ve just uploaded the presentations I made for our last class. There are some exercises I made in the last slide of the Matrix Map presentation. I strongly recommend you give them a try…

## First class – Math 2130

Wow! Next 24th August will be our first class! Stay tuned!

Homework: 25% – Weekly homework (you must turn them in)
Midterm I (09/30): 20%
Midterm II (11/13): 25%
Final (12/09): 30%

Homework sets

Homework #1
Section 1.1:   4, 9, 10, 12, 13, 19, 20, 23
Section 1.2:   1, 2, 11, 12, 15, 16, 25
Due to 09/04

Homework #2:
Section 1.3:   1, 2, 5, 6, 9, 14, 15, 22, 24, 25, 27
Section 1.4:   1, 4, 5, 11, 13, 14, 17, 32, 36
Due to 09/11

Homework #3:
Section 1.5: 5,6,11,13,15,23,24,26,29-30
Section 1.7: 1,4,8, 9,11,15,20,21,22,23,24,27,28,33-38

Homework #4
Section 1.8: 1, 2, 3, 5, 7, 8, 9, 11, 13, 17, 19, 21, 22, 36
Section 1.9: 1, 2, 17, 22, 23, 24, 34
Due to 09/28

Homework #5
Section 2.1: 1, 2
Section 2.2: 4, 11, 18, 31
Section 2.8: 1,2,3,4,5,7, 21, 22, 25

Homework #6
Sec. 2.9: 1,6, 7, 9, 13, 15, 17, 22
Sec 3.1: 1, 12, 15
Sec 3.2: 1-4, 9, 11, 21, 24, 31
Due to 10/16

Homework #7
Section 3.3: 1, 5, 6, 11, 19, 23
Section 4.1: 1,3, 7, 24, 33
Due to 10/23

Textbook

## Linear Algebra and its applications

by David C. Lay, Steven R. Lay and Judi J. McDonald

Other books I like

by Peter D. Lax

## Linear Algebra

by Kenneth Hoffman and Ray Kunze

Course notes

Glossary

Important concepts we see throughout the course. Hit the button to check them out!