# Linear Algebra

Korea University

## Course Description

• ### Course Name

Linear Algebra

• ### Host University

Korea University

• ### Location

Seoul, South Korea

Algebra

• ### Language Level

Taught In English

• ### Course Level Recommendations

Lower

ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.

### Hours & Credits

• Credits

3
• Recommended U.S. Semester Credits
3
• Recommended U.S. Quarter Units
4
• ### Overview

Outline:

Linear algebra is an area of mathematics for the study of operators on certain sets (called vector spaces). It has become an indispensable tool in many branches of sciences from mathematics to engineering or economics. In this course we will study basic concepts and theorems in Linear Algebra including system of linear equations and its solutions, determinants, vector spaces, eigenvalues and eigenvectors.

• Ch 1. Linear Equations in Linear Algebra
• Systems of linear equations
• Solution of linear systems
• Linear Independence
• Linear transformation
• Ch 2. Matrix Algebra
• Matrix operations
• Matrix factorizations
• Dimension and rank
• Midterm
• Ch 3. Determinants
• Introduction to determinants
• Properties of determinants
• Ch 4. Vector Spaces
• Vector spaces and subspaces
• Null space and column space
• Bases
• Dimension and rank
• Change of Basis
• Ch 5. Eigenvalues and Eigenvectors
• Eigenvalues and eigenvectors
• Characteristic equation
• Diagonalization
• Eigenvectors and linear transformations
• Final

Audience:

This course is aimed at students who want to employ linear algebra, especially matrices or vector spaces, to simplify the problems in their research. This includes students from a wide range of majors including life sciences, economics, humanities, engineering, physics and mathematics. This course does not have pre-requisite.

Objectives:

After taking this course, students will be able to

• formulate and solve systems of linear equations
• compute mathematical problems in sciences with matrices
• understand elementary facts about vector spaces
• find the eigenvalues and eigenvectors
• perform linear transformations

Note:

If you have a physical, psychological, medical or learning disability that may impact your course work, please contact me, (Asan Science Building, room 518, Tel: 02-3290-3088). I will determine with you what accommodations are necessary and appropriate. All information and documentation is confidential. Students who require assistance during emergency evacuation are encouraged to discuss their needs with me. For procedures and information, please call or email me.

### Course Disclaimer

Courses and course hours of instruction are subject to change.