-3 -3 x' х. -k -3 || 3 (a) Solve the system for k= What are the eigenvalues of the 2° coeifficient matrix? r2 = Classify the equilibrium point at the origin as to type. Choose one▼ (b) Solve the system for k = 6. What are the eigenvalues of the coeifficient matrix? 12 = Classify the equilibrium point at the origin as to type. Choose one v (c) In parts (a) and (b), solutions of the system exhibit two quite different types of behavior. Find the eigenvalues of the coefficient matrix in terms of k. r1 = r2 : || ||

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