Question: 14 Let C be a 3 x 3 symmetric matrix Assume An, A2, A, are three distinct eigenvalues of C. Which of the following statements

14 Let C be a 3 x 3 symmetric matrix Assume An,
14 Let C be a 3 x 3 symmetric matrix Assume An, A2, A, are three distinct eigenvalues of C. Which of the following statements are always true? Statement A: If up, 12, us are eigenvectors of C corresponding to the three distinct eigenvalues, then the set (en, 12, 13) forms an orthogonal basis of R] Statement B: If u is an eigenvector of C. corresponding to As, and w is an eigenvector of C corresponding to the same eigenvalue As, then Aju + Ayw is an element of the eigenspace of C, corresponding to Aj. Select one alternative: O Nether A nor B D B only Aonly O Both A and B

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