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A wolf pack always hunts in one of three regions R1, R2, and R3. Its hunting habits are as follows: If it hunts in some region one day, it is as likely as not to hunt there again the next day. If it hunts in R1, it never hunts in R2 the next day. If it hunts in R2 or R3, it is equally likely to hunt in each of the other regions the next day. If the pack hunts in R1 on Monday, find the probability that it hunts there on Thursday. Then find the steady state vector using (I-P)s=0 Find the determinant of the following matrix: (remember, you don't have to expand across the first row) 2 4 2 3 1 -1 0 4 A: = -1 7 02 0004

A wolf pack always hunts in one of three regions R1, R2, and R3. Its hunting habits are as follows: If it hunts in some region one day, it is as likely as not to hunt there again the next day. If it hunts in R1, it never hunts in R2 the next day. If it hunts in R2 or R3, it is equally likely to hunt in each of the other regions the next day. If the pack hunts in R1 on Monday, find the probability that it hunts there on Thursday. Then find the steady state vector using (I-P)s=0 Find the determinant of the following matrix: (remember, you don't have to expand across the first row) 2 4 2 3 1 -1 0 4 A: = -1 7 02 0004

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.5: Eigenvalues And Eigenvectors
Problem 4E
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A wolf pack always hunts in one of three regions R1, R2, and R3. Its hunting habits are as follows: If it hunts in some region one day, it is as likely as not to hunt there again the next day. If it hunts in R1, it never hunts in R2 the next day. If it hunts in R2 or R3, it is equally likely to hunt in each of the other regions the next day. If the pack hunts in R1 on Monday, find the probability that it hunts there on Thursday. Then find the steady state vector using (I-P)s=0
Transcribed Image Text:A wolf pack always hunts in one of three regions R1, R2, and R3. Its hunting habits are as follows: If it hunts in some region one day, it is as likely as not to hunt there again the next day. If it hunts in R1, it never hunts in R2 the next day. If it hunts in R2 or R3, it is equally likely to hunt in each of the other regions the next day. If the pack hunts in R1 on Monday, find the probability that it hunts there on Thursday. Then find the steady state vector using (I-P)s=0
Find the determinant of the following matrix: (remember, you don't have to expand across the first row) 2 4 2 3 1 -1 0 4 A: = -1 7 02 0004
Transcribed Image Text:Find the determinant of the following matrix: (remember, you don't have to expand across the first row) 2 4 2 3 1 -1 0 4 A: = -1 7 02 0004
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