Matrix A is factored in the form PDP Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace. 1 1 1 2 11 2 1 2 4 00 1 0 10 1 A= 1 2 1 2 0 - 2 3 3 1 1 2 2 -1 0 0 1 1 1 1 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, = A basis for the corresponding eigenspace is {} O B. In ascending order, the two distinct eigenvalues are , = and A, = Bases for the corresponding eigenspaces are and { }, respectively. O C. In ascending order, the three distinct eigenvalues are 1 = and A3 = Bases for the corresponding eigenspaces are { }. { }, and respectively.

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