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Unformatted text preview: ____________ page 424 —————————————————————————— CHAPTER 7. —— . Based on Part , the equations reduce to the single equation Let and , 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 T 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 Then 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.

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