Suppose an animal lives three years. the first year it is immature and does not reproduce. the second year it is an adolescent and reproduces at a rate of 0.8 female offspring per female individual. the last year it is an adult and produces 3.5 female offspring per female individual. further suppose that 80% of the first year females survive to become second-year females and 90% of second-year females survive to become third-year females. all third-year die. we are interested in modeling only the female portion of this population. a. draw a state diagram for this scenario b. construct the lesie matrix c. compute eigenvalues for this matrix. from these determine if the population will eventually grow or decline. what is the rate of growth(or decline? ) d. suppose that a population of 100 first0yer females are released into a study area along with a sufficient number of males for reproductive needs. track the female pop. over 10 years. e. compute the eigenvector associated with the dominant eigenvalue. normalize both the eigenvector and the population after 10 years.