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Matrix A is factored in the form PDP . Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace.

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Matrix A is factored in the form PDP . Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace. w / - w / - 2 4 0 0 A = 1 2 D - 1 0 1 0 10 6 w / 2 2 0 0 0 1 WIN w / - w / - . . . . . 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, 2 = . A basis for the corresponding eigenspace is O B. In ascending order, the two distinct eigenvalues are M = and 72 = . Bases for the corresponding eigenspaces are {} and { }, respectively. O C. In ascending order, the three distinct eigenvalues are M = , 12 = and 23 = Bases for the corresponding eigenspaces are { }, { }, and {}, respectively

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