Use the factorization A = PDP-1 to compute Ak, where k represents an arbitrary positive integer. [+: 1:][; :J: :1 -:-) Ak=0 Matrix A is factored in the form PDP"1. Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace. 1 1 1 1 1 2 2 1 2] [ 2 11 501 4 A = 1 2 2 = 2 0 -1 || 010 1 3 [2 -1 0 0 0 1 1 3 1 Select the correct choice below and fill in the answer boxes to complete your choice. (Use a comma to separate vectors as needed.) O A. There is one distinct eigenvalue, a = _. A basis for the corresponding eigenspace is { }. O B. In ascending order, the two distinct eigenvalues are hq = and 12 = . Bases for the corresponding eigenspaces are {} and {}, respectively. O c. In ascending order, the three distinct eigenvalues are 21 = 12 = , and 13 = . Bases for the corresponding eigenspaces are {}, {}, and {}, respectively. Diagonalize the following matrix, if possible. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. on. For p =,0-[3 -2] OB. For P=0.0-[ : --] O c. For p = 0,0-12:] OD. The matrix cannot be diagonalized.