- 6 1. In the previous assignmenng, given A = 0 -2 0 , we calculated det(A-)I) where 6 A E F and then find all values of A E F for which the determinant of det(A - XI) is 0. Use this information, (a) to find the characteristic polynomial of A. (b) to find the determinant using part a). (c) to find all of the eigenvalues of A over R and C. (d) to find the trace of A using part c). (e) to find the corresponding eigenspace for each eigenvalue. (f) to find the matrix P that diagonalizes A and give the corresponding diagonal matrix D