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Which of the following statements is/are true? (i) Any two eigenvectors of a matrix A are linearly independent. (ii) It is possible for a square matrix with real entries to have infinite number of eigenvect (iii) Every square matrix is diagonalizable. OA. Only (iii) OB. Only (ii) OC. All of the given statements. O D. None of the given statements. O E. Only (i)

Which of the following statements is/are true? (i) Any two eigenvectors of a matrix A are linearly independent. (ii) It is possible for a square matrix with real entries to have infinite number of eigenvect (iii) Every square matrix is diagonalizable. OA. Only (iii) OB. Only (ii) OC. All of the given statements. O D. None of the given statements. O E. Only (i)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Which of the following statements is/are true? (i) Any two eigenvectors of a matrix A are linearly independent. (ii) It is possible for a square matrix with real entries to have infinite number of eigenvectors. (iii) Every square matrix is diagonalizable. O A. Only (iii) OB. Only (ii) O C. All of the given statements. O D. None of the given statements. O E. Only (i)
Transcribed Image Text:Which of the following statements is/are true? (i) Any two eigenvectors of a matrix A are linearly independent. (ii) It is possible for a square matrix with real entries to have infinite number of eigenvectors. (iii) Every square matrix is diagonalizable. O A. Only (iii) OB. Only (ii) O C. All of the given statements. O D. None of the given statements. O E. Only (i)
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