Given that L = b1 b2 b3 bn1 bn c1 0 0
Question:
Given that L =
⎛
⎜⎜⎜⎜⎜⎝
b1 b2 b3 · · · bn−1 bn c1 0 0 · · · 0 0 0 c2 0 · · · 0 0
...
... ...
. . .
...
...
0 0 0 · · · cn−1 0
⎞
⎟⎟⎟⎟⎟⎠
, where bi ≥ 0, 0 < ci ≤ 1, and at least two successive bi are strictly positive, prove that p(λ) = 1, if λ is an eigenvalue of L, where p(λ) =
b1
λ +
b2c1
λ2 +· · ·+
bnc1c2 . . . cn−1
λn
.
Show the following:
258
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Related Book For
Dynamical Systems With Applications Using Mathematica
ISBN: 978-3319870892
1st Edition
Authors: Stephen Lynch
Question Posted: