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. 3 0 -2 - 1 0 - 1 5 0 0 0 0 1 A = 6 5 6 0 1 3 0 50 3 1 3 = 0 0 5 0 0 3 -1 0 - 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 = A basis for the corresponding eigenspace is B. In ascending order, the two distinct eigenvalues are = and 2 = Bases for the corresponding eigenspaces are O and {}, respectively. O C. In ascending order, the three distinct eigenvalues are ng = and 3 = Bases for the corresponding eigenspaces are { }, {}, and {}, respectively.

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