[closed] What is the difference between first and second right eigenvectors of a row stochastic matrix and their meaning in graph theory?

In an n×n non negative row stochastic matrix (rows sum up to 1). The entries of the stochastic matrix I have represent directed links between countries.

1- Why is the first right eigenvector a vector of ones and what does that imply in that case?
2- Why do we want to calculate the second right eigenvector in that case?

asked Mar 11 '13 at 13:58

Cha
1●1●1●1

closed Mar 11 '13 at 17:57

Alexandre Passos ♦
25541●54●278●421

This seems like homework.

(Mar 11 '13 at 14:05) Rob Renaud

The question has been closed for the following reason "Homework question" by Alexandre Passos Mar 11 '13 at 17:57

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Tags:

linear-algebra ×20
graphs ×19
eigenvectors ×3

Asked: Mar 11 '13 at 13:58

Seen: 857 times

Last updated: Mar 11 '13 at 17:57

[closed] What is the difference between first and second right eigenvectors of a row stochastic matrix and their meaning in graph theory?

The question has been closed for the following reason "Homework question" by Alexandre Passos Mar 11 '13 at 17:57

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