Referring to Example 5, consider a typical group of French women, of whom 47% currently work outside

Question:

Referring to Example 5, consider a typical group of French women, of whom 47% currently work outside of the home. Assume that the same percentage of daughters follow in their mothers' footsteps as with the American women-that is, that given by the matrix

Use A and A2 to determine the proportion of French women who work outside of the home in the next two generations. (Round to the nearest whole percent.)
Refer to Example 5,
Census studies from the 1960s reveal that, in the United States, 80% of the daughters of women in the labor force also worked outside of the home and that 30% of the daughters of women not in the labor force worked outside of the home. Assume that this trend remains unchanged from one generation to the next. Determine the corresponding transition matrix?