he state-space representation for 2x'' + 4x + 5x = 10e is 11 0 [] = [ 9₁ 92] [x2] + [91] -1 e X2 99 H using the methods 0 1 6. Calculate the eigenvalue of the state-space coefficient matrix -7a -2a demonstrated in your lecture notes (Note that a is a positive constant, do not assume values for a). If your eigenvalues are real and different, let 2, be the smaller of the two eigenvalues when comparing their absolute values, for example, if your eigenvalues are -3 and 7, their absolute values are 3 and 7 with 3 < 7 and 2₁ = -3. If your eigenvalues are a complex conjugate pair, let λ be the eigenvalue with the positive imaginary part. - The eigenvalue you must keep is 2₁ = 911 a + 912 a j Note that if is real valued that 912 = 0