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

Differential equations are the mathematical language we use to describe the world around us. Most phenomena can be modeled not by single differential equations, but by systems of interacting... 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
In this age of information, data is available everywhere and grows at an exponential rate. How can we make sense of all this data? How do we take advantage of data when making decisions? How do we... more
La modelación matemática es el intento del hombre por describir algún fenómeno del mundo que nos rodea a través de herramientas matemáticas como por ejemplo las ecuaciones y desigualdades, entre... more
En este curso de 4 módulos, desarrollarás competencias básicas para el cálculo identificando elementos de diferentes sistemas numéricos, obtendrás habilidades en el manejo de las operaciones básic... more

CONTINUE SEARCH

FOLLOW COLLEGE PARENT CENTRAL