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page 375 —————————————————————————— CHAPTER 7. —— 26 . The general solution is
x
. ________________________________________________________________________
page 376 —————————————————————————— CHAPTER 7. ——
. . 28 . We note that A
. It follows that A I
I 0 , for . A . . Suppose that
and
are linearly dependent. Then there exist constants
and , not both zero, such that
0 Assume that
It is clear
that A
I
0 On the other hand,
A I 0
. Since , we must have . Note that A I , which leads to a contradiction.
. ________________________________________________________________________
page 377 —————————————————————————— CHAPTER 7. ——
. Let
, with
. Suppose that
dependent. Then there exist constants , and ,
and
are indeed linearly
, not all zero, such that
0 It is clear that A Assume that
other hand,
A I I...
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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.
 Spring '08
 Staff

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