Can someone please explain to me ASAP??!!!

Matrix A is factored in the form PDP". Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace. Col - 2 21 2 2 50 0 8 2 4 A = 1 3 1 2 0-1 010 3 8 4 8 12 2 2 -2 0 0 1 . . . A. There is one distinct eigenvalue, = .A basis for the corresponding eigenspace is {} OB. 2 2 2 In ascending order, the two distinct eigenvalues are 21 = 1 and 22 = 5 . Bases for the corresponding eigenspaces are 0 N and 2 , respectively. 0 2