The following tables give U.S. Census Bureau data and projections of the population (in thousands) by selected age groups and sex in the United States.
(a) If matrix M gives the male data and Matrix F gives the female data, find M - F and discuss what it means.
(b) For what years and ages is the female population projected to be greater than the male population?
Males

Females

Under age 5 5-13 14-17 1864 Over age 64 99,232 10,763 11,150 11,307 11,377 21,041 24,970 29,204 32,709 18,784 8541 19,309 8478 100,904 20,210 8472 102,004 20,649 9078 103,510 2015 2020 2025 2030 Under age 5 5-13 14-17 18-64 Over age 64 10,288 10,658 10,807 10,875 26,654 17,988 8153 18,640 8104 100,863 19,301 8093 101,162 19,717 8653 101,839 99,918 2015 2020 2025 2030 30,999 35,848 40,066