See also the course materials in THE SAKAI SYSTEM: https://online.deu.edu.tr/
The documents, homeworks etc. for the course that we have given/assigned are the below files ordered by date.
Lecture notes from a student's notebook from 2015 Autumn (not complete)
Textbook: Linear Algebra: A Geometric Approach, Theodore Shifrin and Malcolm R. Adams. Second edition, W. H. Freeman and Company, 2011.
For the first week of the lectures, study the first three sections from your textbook.
Some lecture notes on 2022-10-12 (Vectors and Matrices)
Some lecture notes on 2022-10-13 (Systems of Linear Equations)
Homework 1 - Vectors in the n-Dimensional Space R^n and Systems of Linear Equations (with Worksheet 1 Problems in the last page)
See the following article for a simple proof by induction for the uniqueeness of the reduced echelon form of a matrix (you can view this article in the campus network):
Yuster, T. The Reduced Row Echelon Form of a Matrix is Unique: A Simple Proof. Mathematics Magazine, Vol. 57, No. 2 (Mar., 1984), pp. 93-94.
Homework 2 - Matrix Algebra (with Worksheet 2 Problems in the last two pages)
Solve all the problems in the above Homeworks 1 and 2 with the Worksheet Problems in the end and the first two chapters of your textbook. Come to lectures prepared to discuss your answers in the above homework problems.
Your textbook has nice problems to develop your understanding and solving them will make you prepared fully for the midterm and final examinations, you must learn well studying your textbook, it is a nice textbook to learn basics of linear algebra.
Midterm and Final Examinations of the five years 2013-2017
Midterm of 2021 Final Examination of 2021
You can find answers to some of these examinations from the faculty photocopy room but I strongly advice you to work hardly to solve them before seeing the answers. You cannot be a problem solver by reading answers to problems.
As a preparation for your midterm, solve the six midterms in the above set of examinations, you must be able to solve each of them in at most three hours, make yourself these examinations. It will be a good preparation if you can solve all of these six midterms and understand all the reasoning needed to answer them.
Midterm
We shall discuss the answers to the midterm. To learn how you shall write your answers, see the detailed answers:
Answers to the Midterm
Homework 3 - Subspaces of R^n and Dimension (with Worksheet 3 Problems in the last page)
The Four Fundamental Subspaces Associated with a Matrix A (with an example for finding bases for these fundamental subspaces)
Homework 4 - Projections and Linear Transformations (with Worksheet 4 Problems in the last three pages)
Subjects of the Final Examination