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 5 3 2 2 2 6 0 0 1 0 10 5 1 A = 1 2 1 1 - 1 5 10 2 2 3 - 2 0 0 1 1 4 1 5 5 5 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, 1 = A basis for the corresponding eigenspace is O B. In ascending order, the two distinct eigenvalues are , = and 2 = Bases for the corresponding eigenspaces are { and respectively. O C. In ascending order, the three distinct eigenvalues are , = , 12 = and 13 Bases for the corresponding eigenspaces are O), and }. respectively.

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