12 the characteristic equation of the system is the

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: limit does exist. In fact, Ax Term-by-term differentiation results in ________________________________________________________________________ page 411 —————————————————————————— CHAPTER 7. —— I A AI A A A A A A A x x A x That is, A Furthermore, . x . Based on uniqueness of solutions, . ________________________________________________________________________ page 412 —————————————————————————— CHAPTER 7. —— Section 7.8 2. Setting x results in the algebraic equations . The characteristic equation is reduces the system of equations to One solution is , with the single root . Substituting . Therefore the only eigenvector is x , which is a constant vector. In order to generate a second linearly independent solution, we must search for a generalized eigenvector. This leads to the system of equations . This system also reduces to a single equation, . Setting arbitrary constant, we obtain . A second solution is , some x Note that the last term is a multiple of x x and may be dropped. Hence...
View Full Document

This note was uploaded on 03/11/2014 for the course MA 303 taught by Professor Staff during the Spring '08 term at Purdue University-West Lafayette.

Ask a homework question - tutors are online