2. (3 points each) Consider the linear system x' = -2-2 0 | x. (a) Write the characteristic polynomial of the coefficient matrix A. (b) Find the eigenvalues of A. (c) Find an eigenvector associated to each of the eigenvalues. (d) Find a Fundamental Set of Solutions for the system.
Show transcribed image text2. (3 points each) Consider the linear system x' = -2-2 0 | x. (a) Write the characteristic polynomial of the coefficient matrix A. (b) Find the eigenvalues of A. (c) Find an eigenvector associated to each of the eigenvalues. (d) Find a Fundamental Set of Solutions for the system.