3. Consider the livrea Contral process b (+)-( 7- (1:9)(9) y 0 u(t) :) ( 1 ) + (i) uc) For what values of bEIR • this system is globally well controllad of bEIR, this system is 610 , B = (i) A= (001), B. AB = (b) (998 0 A² B = · A (AB) = (86) (8) = (9) C= (B, AB, A³B) = C. Vanu (C) = = 0 1 6 100 0 0

Solve Exercise 14 if a 25 solution of the same mixture is added instead of pure alcohol.

2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.7. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.7 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 3 Food C 1 1 1

What operations can be performed on a linear system to arrive at an equivalent system?