Question

Linear Algebra Project : Urban Population Dynamics This project is about population modeling and how linear algebra tools may be used to study it. Population modeling is useful from different perpectives: 1, planners at the city, state, and national level who look at human populations and need forecasts of populations in order to do planning for future needs. These future needs include housing, schools, care for elderly, jobs, and utilities such as electricity, water and transportation. 2. businesses do population planning so as to predict how the portions of the population that use their product will be changing. 3. ecologists use population models to study ecological systems, especially those where endangered species are involved so as to try to find measures that will restore the population. 4. medical researchers treat microorganisms and viruses as populations and week to understand the dy- namics of their populations; especially why some thrive in certain environments but don't in others In human situations, it is normal to take the inters of 10 years as the census is taken every 10 years Thus the age groupe would be 0-9, 10-19, 20-29 te, so 8 or 9 age categories would probably be appropriate. The survival fractions would then?ow the fraction of "newborns" (0-9) who survive to age 10, the fraction of 10 to 19 years old who survive to 20 etc. This type of data is compiled, for example, by actuaries working insurance companies for life and medical insurance parposes. The basic equations we begin with are x(k + 1)-Az(k) k#0, 1, 2, and z(0) nimm with solution found iteratively to be 0.2) Your project Suppe e wo aro t ndying the poj ulatom dyliani, illn, Aug.1 ? for the' prmpie of making plansing proposal As above, we take the umit of sane to be 10 year. and talo 7 age groups 0-9. 10-19.50-5960 Sappose further thas the popalation distribution as of 1990 is (3.1,2.8,2.0,2.5,20,1.8,29)(x10) y E. Abdos . Drane

Answer 1