Test Yourself and Learn: Matrix Algebra

List of questions

Introduction to matrix algebra 1 2 3 4
Matrix multiplication 5 6 7 8
System of linear equations and matrix 9 10 11 12
Determinants and non-singularity 13 14 15 16 17 18 19
Minors, cofactors and adjoint matrices 20 21 22
Inverse matrices 23 24 25
Matrix inversion to solve a system of linear equations 26 27 28 29
Cramer’s rule 30 31 32 33 34 35
Practice Questions (MCQ) 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
Recommended Books

Instructions:

Please do not click the Show Answer and Notes button immediately. First, try to solve the questions by yourself. To see an answer and related notes, click Show Answer and Notes. To move to the next or previous question, please click the Arrow button.

Notes
These resources do not aim to provide a complete list of examples of the math skills required to do well in the intermediate economics classes. All parts of this resource may not be relevant for a specific course. This resource covers some basic tools in matrix algebra used in economics courses. There is a list of books at the end. These books discuss these topics in more details.

We welcome comments and suggestions. Please email Iftekher Hossain (mhossa87@uwo.ca) to let us know of errors and suggestions. The document is copyrighted. Please do not reproduce or publish any part of the document without prior written permission from the Department of Economics, University of Western Ontario.

Acknowledgments
We are grateful to Professor Audra Bowlus for her initiatives developing these resources, guidance, and suggestions. We want to thank Greg Pavlov for his valuable time and detailed notes on various topics.

Many thanks to Alexandra Houston for her very significant contribution to preparing the website. We are grateful to Stephen Amey and Abul Hasem for the technical support. Sincere thanks to Social Science Technology Services for developing the programs and web materials for the site.

UWO Economics Math Resources by Mohammed Iftekher Hossain is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.