https://static-play.kg.qq.com/node/Tt06Wc6170/play_v2?s=4dGpDD4cqrmLL4WZ&shareuid=639d9e87222d368f324a&abtype=13&shareDescABType=1&topsource=a0_pn201001006_z11_u1032701464_l0_t1719320992__&pageId=details_of_creationsapter 1 Matrices and Systems of Equations
Solution Form a matrix A as follows: The entries in the first row of A will be the percentages married and single women, respectively, who are married after one year.The entriev the second row will be the percentages of women who are single after one year.Thu
0.70 0.20 A=0.30 0.80
If we letx=2000 8000] . the number of married and single women after one year c
be computed by multiplying A times x.
Ax=
0.70 0.20][.300:30][2000 ] =000 ]6000
After one year, there will be 6000 married women and 4000 single women. To find t number of married and single women after two years, compute
Ax=(Ax)=03084000]=[5000
0.70 02060005000
After two years, half of the women will be married and half will be single. In general the number of married and single women after n years can be determined by computing A"x.
N2 Ecology: Demographics of the Loggerhead Sea Turtle
The management and preservation of many wildlife species depends on our ability t0 model population dynamics. A standard modeling technique is to divide the life cyck of a species into a number of stages. The models assume that the population sizes for each stage depend only on the female population and that the probability of survival of an individual female from one year to the next depends only on the stage of the life cycle and not on the actual age of an individual. For example, let us consider a four Figure 1.4.1). stage model for analyzing the population dynamics of the loggerhead sea turtle (see
Figure 1.4.1.Loggerhead Sea Turtle
At each stage, we estimate the probability of survivg also estimate the ability to reproduce in ter
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FROM 111.52.6.*