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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/ - 2 2 1 0 0 A = 1 0 0 10 w - 6 6 2 0 0 w / - W/ N 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 { OB. 2 In ascending order, the two distinct eigenvalues are 21 = 1 and 2 = 4 . Bases for the corresponding eigenspaces are O - 1 and 0 , respectively. O C. In ascending order, the three distinct eigenvalues are My = , 22 = , and 3 = . Bases for the corresponding eigenspaces are { } { }, and { }, respectively

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