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

 Matrix A is factored in the form PDP . Use the

Matrix A is factored in the form PDP . Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace. 2 21 LO O A= 131 11 O O O 1 2 2 O O O 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 2, = and 2, = Bases for the corresponding eigenspaces are and }, respectively. O C. In ascending order, the three distinct eigenvalues are 2, = and 23 = Bases for the corresponding eigenspaces are , and , respectively

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