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Unformatted text preview: ____________
page 424 —————————————————————————— CHAPTER 7. —— .
Based on Part
, the equations reduce to the single equation
, where and are arbitrary constants. We then have
so that Observe that Hence a third linearly independent solution is
x . Given the three linearly independent solutions, a fundamental matrix is given by . We construct the transformation matrix
T , with inverse
The Jordan form of the matrix A is
J 20 T AT . Direct multiplication results in ________________________________________________________________________
page 425 —————————————————————————— CHAPTER 7. —— J J J . Suppose that
J +1 Hence the result follows by mathematical in...
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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