Vector and Matrix Algebra
Complexity ExplorerFree
Important information
 Course
 Online
 When:
Flexible
This tutorial introduces students to essential ideas related to vectors and matrices. These mathematical structures form the foundations for many key topics in complex systems, such as dynamical systems, stochastic processes, and network science. The prerequisite for this tutorial is knowledge of highschool algebra. The content of the tutorial is built, in a selfcontained fashion, starting with basic notions of real numbers and elementary set theory. Ideas of vectors and vector operations are developed next, in an intuitive way, by appealing, simultaneously to their algebraic and geometric underpinnings. Next, the tutorial explores matrices and vector spaces, determininants and eigenvalues with, again, an eye toward understanding the intuitive geometric and algrebraic connections that tie these notions together. Finally, the tutorial concludes with a survey of applications of matrix algebra, including diagnolization, recursion, geometric transformations, differential operators and Markov Chains.
Starts  Location 

Flexible 
Online

What you'll learn on the course
Mathematics  Algebra  vector algebra  Vectors  
Matrices  Matrix  Sets  Vector Spaces  
Mathematical structures 
Course programme
Syllabus
 Sets and Vectors
 Matrices and Vector Spaces
 Matrix Applications