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
. The intercepts of the second
. Therefore the system will have a unique solution, in the
first quadrant, as long as
. That is,
page 343 —————————————————————————— CHAPTER 7. ——
A B .
A B .
A B A
4 B .
A . By definition, A A A. 5.
page 344 —————————————————————————— CHAPTER 7. —— A B 7. Let A
elementwise. That is,
. . The...
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- Spring '08
- Linear Algebra, eigenvector