Unformatted text preview: the system of equations The initial conditions are and . The equilibrium values are obtain by solving the system Its solution leads to and . The question refers to possible solution of the system It is possible for formally solve the system of equations, but the unique solution gives
and , which is not physically possible. ________________________________________________________________________
page 342 —————————————————————————— CHAPTER 7. ——
. We can write ,
which are the equations of two lines in the plane: The intercepts of the first line are
and
. The intercepts of the second
line are
and
. Therefore the system will have a unique solution, in the
first quadrant, as long as
or
. That is,
. ________________________________________________________________________
page 343 —————————————————————————— CHAPTER 7. ——
Section 7.2
2 .
A B .
A B .
AB .
BA 3.
A B A
4 B .
A . By definition, A A A. 5.
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page 344 —————————————————————————— CHAPTER 7. —— A B 7. Let A
and B
elementwise. That is,
.
.
.
. . The...
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 Spring '08
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 Linear Algebra, eigenvector

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