7. Consider matrix M = [31 31]. Its characteristic polynomial p00 2 A2 2) + 5 = (A 1)2 + 22 does not have real roots, but it does have complex roots A = 1 :I: 22'. Find a basis of the associated complex eigenspaces. 8. Determine the algebraic and geometric multiplicities of the eigenvalues of the matrix 1 8 8 C = 1 1 4 2 5 9 Find bases of the corresponding eigenspaces. Hint: the characteristic polynomial of C is 300) : (). 3)3