Unformatted text preview: ires analysis of the equations
. For a nonzero solution, we must have
A
I
. The roots of the
characteristic equation are
and
. For
, the system of equations
reduces to
. The corresponding eigenvector is
Setting
results in the single equation
. A corresponding eigenvector is
It follows that
and x x The Wronskian of this solution set is
xx
. These solutions are
linearly independent for
. Hence the general solution is
x 23. Setting x results in the algebraic equations
. For a nonzero solution, we must have
A
I
. The roots of
the characteristic equation are
and
. Setting
, the system of
equations reduces to
. The corresponding eigenvector is
________________________________________________________________________
page 374 —————————————————————————— CHAPTER 7. ——
With
is , the system is equivalent to the equation
It follows that
x . An eigenvector and x The Wronskian of this solution set is
xx
. Thus the solutions are linearly
independent for
. Hence the general solution is
x 24 . The general solution is
x . . _______...
View
Full Document
 Spring '08
 Staff
 Linear Algebra, eigenvector

Click to edit the document details