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< Question 19 of 20 > This test: 20 point(s) possible This question: 1 point(s) possible Matrix A is factored in the form PDP

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< Question 19 of 20 > This test: 20 point(s) possible This question: 1 point(s) possible 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. 20 - 4 40 - 1 300 0 0 1 A= 23 8 0 1 2 0 3 0 2 1 8 00 3 1 00 002 -10-4 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 B. In ascending order, the two distinct eigenvalues are = and 2= Bases for the corresponding eigenspaces are and respectively. OC. In ascending order, the three distinct eigenvalues are = ,^2= and 3= Bases for the corresponding eigenspaces are {}, {}, and {}, respectively.

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