Module 25: question 2 O . Suppose that A is a real 2 x 2 matrix with imaginary (non-real) eigenvalues, matrix C = a -b al (b = 0), and x is in R2. Which of the below is/ are not true? A. Imaginary eigenvalues and corresponding eigenvectors of A appear in complex conjugate pairs. B. The two eigenvalues of the matrix Care a = a tib. C. The transformation x - Cx performs rotation through the angle p (-n 0), wherer = [X| = vaz + bz and the angel o can be found from the equations cos o = _, sing = =. D. Suppose ) = a - ib (b # 0) is an eigenvalue of A and v is an eigenvector corresponding to 2. Then A is similar to the matrix C, that is, there is matrix P = [Rev Im v], such that, A = PCP-1. E. Multiplication by the matrix P-1 or P, due to the factorization A PCP-1, changes the variable, while multiplication by the matrix C performs rotation and scaling