3. Suppose Un1= A U, is a matrix difference equation which describes discreet population changes from year to year. A. Suppose matrix A has eigenvalues da and X2 with corresponding eigenvectors V and W. What is the general solution of this difference equation ?

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Chapter2: Second-order Linear Odes
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3. Suppose Unr1= A U, is a matrix difference equation which describes discreet population
changes from year to year.
A. Suppose matrix A has eigenvalues dı and X2 with corresponding eigenvectors V and W.
What is the general solution of this difference equation ?
B. Let Un =
where x represents the number of individuals in the first stage of life
and y represents the number of individuals in the second stage of life in this population .
In the long run, how do you find the fraction of the population that will be in stage one and the
fraction of the population that will be in stage two ?
Transcribed Image Text:3. Suppose Unr1= A U, is a matrix difference equation which describes discreet population changes from year to year. A. Suppose matrix A has eigenvalues dı and X2 with corresponding eigenvectors V and W. What is the general solution of this difference equation ? B. Let Un = where x represents the number of individuals in the first stage of life and y represents the number of individuals in the second stage of life in this population . In the long run, how do you find the fraction of the population that will be in stage one and the fraction of the population that will be in stage two ?
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