System Dynamics Mathematical Background Example 2.5 Determinant of a 3x3 Matrix

System Dynamics (24.509)

II. Mathematical Background

Example 2.5 Determinant of a 3x3 Matrix

Problem Statement:

Given , find .

Problem Solution:

Performing some elementary row operations, one has

2 x row 2 added to row 3

row 1 + row 2

-2 x row 2 added to row 3

Using Laplace's expansion as a check, one has by expanding along row 1,

24.509 Lecture Notes by Dr. J. R. White, UMass-Lowell (Spring 1997).