This preview shows page 1. Sign up to view the full content.
Unformatted text preview: limit does exist. In fact,
Ax Term-by-term differentiation results in ________________________________________________________________________
page 411 —————————————————————————— CHAPTER 7. —— I
AI A A A
A A x
x A x That is,
Furthermore, . x . Based on uniqueness of solutions, . ________________________________________________________________________
page 412 —————————————————————————— CHAPTER 7. ——
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
. 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,
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.
- Spring '08