Monday, February 13, 2012

Linear Algebra Help!!! PLEASE:$?

In order to produce a more balanced, sustainable long-term mix of flowers, the breeder

will put some of the red flowers back out into the field to produce pink flowers. For the red

flowers, let the percentage of their offspring that are pink be p. The percentage that are

red is 1?p. With these values down the first column of the transition matrix, determine

the steady state eigenvectors (you do not have to solve the characteristic equation, but

can assume there is an eigenvalue of 1). If the breeder wants the long-term steady state

to have twice as many red flowers as pink flowers, what should p be?



so my Matrix A=

[1-p 1/4 0

p 1/2 1/2

0 1/4 1/2]



could anybody tell me how to go about this without doing the characteristic equation? I dont know how to do it otherwise

Linear Algebra Help!!! PLEASE:$?
can you use substitution? i had a problem like this the other day and i substituted.

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