The matrices show the male and female populations in the United States in 2011 and 2014. The male and female populations are separated into three age groups.

(a) The total population in 2011 was 311,721,632 and the total population in 2014 was 318,857,056. Rewrite the matrices to give the information as percents of the total population.
(b) Write a matrix that gives the change in the percent of the population for each gender and age group from 2011 to 2014.
(c) Based on the result of part (b), which gender(s) and age group(s) had percents that decreased from 2011 to 2014?

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2011 20–64 42,376,825 92,983,543 17,934,267] [40,463,751 94,530,885 23,432,361] 0-19 65+ Male Female 2014 20–64 0-19 65+ 41,969,399 94,615,796 20,351,292] _40,166,203 5,862,447 25,891,919] Male Female