Unformatted text preview: are
and
Hence one of the complexvalued solutions is given by
________________________________________________________________________
page 382 —————————————————————————— CHAPTER 7. —— x Therefore the general solution is
x
The solution may also be written as
x 4. Setting x results in the algebraic equations
. For a nonzero solution, we require that
A
I
. The roots of
the characteristic equation are
. With
, the equations
reduce to the single equation
. The corresponding eigenvector is
given by
Hence one of the complexvalued solutions is ________________________________________________________________________
page 383 ————————————————————————— CHAPTER 7. —— x The general solution is
x
The solution may also be written as
x 5. Setting x results in the algebraic equations
. The characteristic equation is
, with roots
. Substituting
reduces the system of equations to
. The eigenvectors
are
a...
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 Spring '08
 Staff
 Linear Algebra, eigenvector

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