. For each of the following matrices find all eigenvalues (real or complex) and bases for each of the corresponding eigenspaces. 7. Let A be a 2 x 2 matrix. Then its characteristic polynomial will be of the form 12 +al+b. Show that a= -tr(A) and b = det(A). (Refer to the definition of trace below.) 8. Given that A is a 2x2 such that det(A) = 10 and tr(A) = 7. Use properties below to find all eigenvalues of A