Answer Happy

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 6 6 6 4 1 1 2 1 1 6 0 0 1 2 A= 1 4 1 2 0 - 1 0 3 0 1 3 3 3 1 1 4 2 - 1 0 0 0 3 1 2 1 3 3 3 Select the correct choice below and fill in the answer boxes to complete your choice. (Use a comma to separate vectors as needed.) A. There is one distinct eigenvalue, 1 = A basis for the corresponding eigenspace is O}. B. and 12 = In ascending order, the two distinct eigenvalues are aq Bases for the corresponding eigenspaces are { and { }, respectively. C. In ascending order, the three distinct eigenvalues are 24 , 12 = , and 13 Bases for the corresponding eigenspaces are { }, {}, and {}, respectively. II = =