Question: Let 0 p, q 1, and define a. Show that 1 and p + q 1 are eigenvalues of P. b. By

Let 0 ≤ p, q ≤ 1, and define

P=[1p 1-q 9

a. Show that 1 and p + q – 1 are eigenvalues of P.
b. By Theorem 1, for what values of p and q will P fail to be regular?
c. Find a steady-state vector for P.

Data From Section 10.2 Theorem 1

P=[1p 1-q 9

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ANSWER a To show that 1 and p q 1 are eigenvalues of P we need to find the eigenvalues that satisfy the equation detP I 0 where P is the given matrix and I is the identity matrix Lets calculate the de... View full answer

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