Module 25: question 1 O . Suppose A is a 2 x 2 matrix with real entries and I is the 2 x 2 identity matrix. Which of the below is/are not true? The standard matrix of a rotation transformation in R2 has imaginary (non-real) eigenvalues for each angle of rotation. The complex eigenvalues are the complex roots of the characteristic equation det(A - X/) = 0. C. To find a basis for the eigenspace of A corresponding to a complex eigenvalue 2, we solve equation (A - X)x = 0. D. A basis for an eigenspace of A can be obtained by solving one of the equations of the system (A - W/)x = 0 since another equation is a scalar multiple of the first one. E. A vector x in C" can be written as x = Re x + i Im x; and the complex conjugate of x is defined as x = -Rex - i Im x