n [Crouse et al., 1987], the authors use data about loggerhead sea turtle populations to make a math- ematical model and assess possible conservation strategies. In this model, the turtle population is divided into seven "stage classes". Stage 1 is eggs and hatchlings. Stage 2 is small juveniles. Stage 3 is large juveniles. And so on to stage 7, which is mature breeders. See [Crouse et al., 1987] Table 5 for the full list. Let xk(t) be the number of turtles in stage k at time t. Then we can denote ~x(t) = x1(t) ... x7(t) Based on data about estimated annual survival rates and fecundity, Crouse et al. propose the model ~x(t + 1) = A~x(t), where A = 0 0 0 0 127 4 80 0.6747 0.7370 0 0 0 0 0 0 0.0486 0.6610 0 0 0 0 0 0 0.0147 0.6907 0 0 0 0 0 0 0.0518 0 0 0 0 0 0 0 0.8091 0 0 0 0 0 0 0 0.8091 0.8089 (a) Interpret the first row of the matrix A. In particular, what does the number 80 in the first row, seventh column represent