Rewrite the absorbing stochastic matrix so that the absorbing states appear first, partition the resulting matrix, and identify the submatrices 
and 
. 
Definitions:
Nineteenth Century
A period extending from the year 1801 to 1900, marked by significant industrial, cultural, and political changes globally.
Colonial Governments
Administrations established in colonies to oversee and manage the territories on behalf of the colonizing country.
American Foreign Policy
The strategies and decisions made by the U.S. government in its interactions with other nations, focusing on national security, economic interests, and the promotion of American values.
Foreign Policy Goals
Objectives that a country seeks to achieve in its relations with other nations, including peace, economic prosperity, security, and the protection of human rights.
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