
#1
Dec2509, 02:54 AM

P: 15

On the multiplicity of the eigenvalue
Dear friends, Might you tell me any hint on the multiplicity of the max eigenvalue, i.e., one, of the following matrix. 1 0 0 0 0 p21 0 p23 0 0 0 p32 0 p34 0 0 0 p43 0 p45 0 0 0 0 0 where, pij >0 and pi,i1 + pi,i+1 = 1 It is clear that the above matrix has a max eigenvalue one. Moreover, my numeric simulation shows that the multiplicity of the max eigenvalue seems to be 1. However, I failed to prove this observation. Might you help me? Thanks a lot. Merry Christmas 



#2
Dec2809, 05:21 AM

P: 17





#3
Dec2809, 06:10 AM

P: 15




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