Let L be a Leslie matrix with a unique positive eigenvalue l1. Show that if l is any
Chapter 4, Problem 4.6.27(choose chapter or problem)
Let L be a Leslie matrix with a unique positive eigenvalue l1. Show that if l is any other (real or complex) eigenvalue of L, then |l| l1. [Hint: Write l r(cos u i sin u) and substitute it into the equation g(l) 1, as in part (b) of Exercise 23. Use De Moivres Theorem and then take the real part of both sides. The Triangle Inequality should prove useful.]
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