A. Use a computer to find the determinants and inverses of the matrices provided they exist. Check to see that the computed inverse times the original matrix really gives the identity matrix. B. A...

provided they exist. Check to see that the computed inverse times the original matrix really gives the identity matrix.

B. A simple Usher model of a certain organism tracks immature and

mature classes, and is given by the matrix

a. On average, how many births are attributed to each adult in a time step?

b. What percentage of adults die in each time step?

c. Assuming no immature individuals are able to reproduce in a time step, what is the meaning of the upper left entry in
P?

d. What is the meaning of the lower left entry in
P?