(1) Each year 6% of the urban population moves to rural areas and the remaining 94% stay in urban areas.

(2) Each year 9% of the rural population moves to urban areas and the remaining 91% stay in rural areas.

Assume that the state vector at year k is where is the urban population and is the rural population.

The matrix representing this system is:

(a) Matrix([[.06, .94],[.09, .91]])

(b) Matrix([[.06, .09],[.94, .91]])

(c) Matrix([[.06, .94],[.09, .91]])

(d) Matrix([[.94, .09],[.06, .91]])

(e) Matrix([[.94, .91],[.09, .06]])