Introduction
In this Section we consider another direct method for obtaining the solution of systems of equations in the form .
Prerequisites
- revise matrices and their use in systems of equations
- revise determinants
Learning Outcomes
- find an decomposition of simple matrices and apply it to solve systems of equations
- determine when an decomposition is unavailable and when it is possible to circumvent the problem
Contents
1 LU decomposition2 Using LU decomposition to solve systems of equations
3 Do matrices always have an LU decomposition?
3.1 Why not?
3.2 Can we get around this problem?