Unformatted text preview: n by
are distinct, the general solution is Since the eigenvalues x 12. The eigensystem is obtained from analysis of the equation
.
The characteristic equation of the coefficient matrix is
roots
,
and
. Setting , with
, we have ________________________________________________________________________
page 369 —————————————————————————— CHAPTER 7. —— .
This system is reduced to the equations A corresponding solution vector is given by
system of equations is reduced to the single equation Setting , the Two independent solutions are obtained as
2 and Hence the general solution is
x 13. Setting x results in the algebraic equations
. For a nonzero solution, we must have
of the characteristic equation are
have A
, I . The roots
. Setting
, we and .
This system is reduces to the equations A corresponding solution vector is given by
the reduced system of equations is Setting , ________________________________________________________________________
page 370 ——...
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 Spring '08
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 Linear Algebra, eigenvector

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