1. Write the following equations in the form Ax = b. Clearly identify what is A, what is r, and what is b in your answer. n1=3n2+5n3 n2=n41000 n3+7rn1=0 n1+n2+n3+n4=37 Calf raises . . . 2 2 2. Find the eigenvalues and elgenvectors of thel follow1ng matrlx. Show your steps. M = ( ) 3. For the same matrix M above consider the differential equation, Mt) = Mn(t) . What is the equilibrium solution to this equation? Justify your answer. 4. Is the equilibrium you just found stable or unstable? Explain how you know. 2 0 0 0 . . 5 1 0 0 5. What are the eigenvalues of the matrix Q = 10 e" 04 0 ? 100 100 100 101