The local community service funding organization in a certain county has classified the population into those who did not give the previous year, those who gave less than their "fair share," and those who met or exceeded their "fair share." Suppose the organization developed the following transition matrix for these groups.

Find the steady-state vector for this county's contribution habits.

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This year Last year No contribution 0.7 0.2 0.1 Less than fair share 0.1 0.6 0.3 Fair share 0.1 0.9