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14 Let C be a 3 x 3 symmetric matrix. Assume A1, A2, A3 are three distinct eigenvalues of C. Which of the following statements

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14 Let C be a 3 x 3 symmetric matrix. Assume A1, A2, A3 are three distinct eigenvalues of C. Which of the following statements are always true? Statement A: if '01, '02, '03 are eigenvectors of C corresponding to the three distinct eigenvalues, then the set {01,02,123} forms an orthogonal basis of R3. Statement B: If u is an eigenvector of C, corresponding to A3, and w is an eigenvector of C corresponding to the same eigenvalue A3, then Alu + A210 is an element of the eigenspace of C, corresponding to A3. Select one alternative: ' Both A and B ' Aonly ' B only " Neither A nor B 15 3 0 0 Let D: 0 2 0 .Which one of the following is the eigenspace corresponding to the eigenvalue 2? 0 0 2 Select one alternative: R3

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