This week will focus on solving systems of linear of equations using decomposition techniques. Decomposition techniques are still elimination methods but can be used for special cases has efficient improvements over Gauss Elimination. If a system needs to be solved multiple times with the same constant (i.e., [B] coefficients) then Crout Decomposition is an excellent method. If the system of equations has the form of a tridiagonal matrix, the Thomas Algorithm is very efficient.
This week contains 2 sub-modules topics including:
Expect to take 2.5 hours to go through this week’s content, practice materials and evaluations.
At the end of this week, you will be able to:
Identify when decomposition methods should be used.
Solve a problem with Crout Decomposition.
Solve a problem with Thomas Algorithm.
Go to this week's Learning Activities page for integrated learning approach.