Answer Happy

please provide detailed/complete solution and explanation. thank you very much.
A = Determine whether x is an eigenvector of A. -1 -12 12 -2 0-2 3 1 (a) x = (6, -2,3) O x is an eigenvector. O x is not an eigenvector. -3 (b) x = (6,0,3) O x is an eigenvector. O x is not an eigenvector. (C) x = (20, 4, -6) O x is an eigenvector. O x is not an eigenvector. (d) x = (0,1,1) O x is an eigenvector. O x is not an eigenvector.