Consider a population p of field mice that grows at a rate proportional to the currentpopulation, so that dp/dt = rp.(a) Find the rate constant r if the population doubles in 30 days.(b) Find r if the population doubles in N days.
Determinant Monday, October 2, 203:12 PM Warmup Def. The determinant is a characterization using a single number whether a matrix is invertible or not (for this chapter, it is used in other places in better ways). Geometric meaning The determinant is the factor by which the area of the basis vectors in a space is stretched or shrunk. The reason why it can be negative is because the vectors seem to directionality from right to left. It is the signed area (or for higher dimensions, hypervolume) between the vectors. What things do to change the determinant: 1 Add scaled row to another a. No effect 2) Exchange two rows a. Multiply determinant by 1 3) Scale any row by a value a. Multiply determinant by that value A
