Linear Algebra III: Determinants and Eigenvalues
About this Course
At the beginning of this course we introduce the determinant, which yields two important concepts that you will use in this course. First, you will be able to apply an invertibility criterion for a square matrix that plays a pivotal role in, for example, the understanding of eigenvalues. You will also use the determinant to measure the amount by which a linear transformation changes the area of a region. This idea plays a critical role in computer graphics and in other more advanced courses, such as multivariable calculus. This course then moves on to eigenvalues and eigenvectors. The goal of this part of the course is to decompose the action of a linear transformation that may be visualized. The main applications described here are to discrete dynamical systems, including Markov chains. However, the basic concepts— eigenvectors and eigenvalues—are useful throughout industry, science, engineering and mathematics. Prospective students enrolling in this class are encouraged to first complete the linear equations and matrix algebra courses before starting this class.Created by: The Georgia Institute of Technology
Level: Intermediate

Related Online Courses
Introduction to linear optimization, duality and the simplex algorithm.Created by: École polytechnique fédérale de LausanneLevel: Introductory more
Mathematics is the language of Science, Engineering and Technology. Calculus is an elementary mathematical course in any Science and Engineering Bachelor. Pre-university Calculus will prepare you... more
This course by Imperial College London is designed to help you develop the skills you need to succeed in your A-level further maths exams. You will investigate key topic areas to gain a deeper... more
Las ecuaciones diferenciales son parte fundamental del estudio tanto de la matemática como de la ingeniería y la ciencia en general. Muchas leyes y fenómenos físicos pueden ser descritos med... more
Este curso se concibe como una revisión de los conceptos básicos del cálculo diferencial, necesarios para los primeros cursos de aquellos estudios universitarios en los que se imparte ma... more