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Consider the matrix 2 7 7 7 7 7 L .7 7 The only eigenvalue of A is 14 None of the statement is correct The 0 and 14 are eigenvalues of A 7 The 0 and -7 are eigenvalues of A The only eigenvalue of A is 0 The only eigenvalue of A is-7 Without any calculations, which of the following statements is most correc The 0.-7 and 14 are eigenvalues of A

Consider the matrix 2 7 7 7 7 7 L .7 7 The only eigenvalue of A is 14 None of the statement is correct The 0 and 14 are eigenvalues of A 7 The 0 and -7 are eigenvalues of A The only eigenvalue of A is 0 The only eigenvalue of A is-7 Without any calculations, which of the following statements is most correc The 0.-7 and 14 are eigenvalues of A

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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Consider the matrix 2 7 7 E 7 7 7 The only eigenvalue of A is 14 None of the statement is correct The 0 and 14 are eigenvalues of A 7 The 0 and -7 are eigenvalues of A The only eigenvalue of A is 0 The only eigenvalue of A is-7 Without any calculations, which of the following statements is most correct The 0.-7 and 14 are eigenvalues of A
Transcribed Image Text:Consider the matrix 2 7 7 E 7 7 7 The only eigenvalue of A is 14 None of the statement is correct The 0 and 14 are eigenvalues of A 7 The 0 and -7 are eigenvalues of A The only eigenvalue of A is 0 The only eigenvalue of A is-7 Without any calculations, which of the following statements is most correct The 0.-7 and 14 are eigenvalues of A
Let A be an n x n matrix.Which of the following statements is (are) true? Ⓒa) If Ax = Ax for some scalar A, the x is an eigenvector of A Statements b and d Statements a, b and d b)lf v₁ and v₂ are linearly independent eigenvectors, then they correspond to distinct eigenvalues Statements a, c and d Oc)An eigenspace of A is a null space of a certain matrix Statements cand d d)if A² is a zero matrix, then the only eigenvalue of A is 0
Transcribed Image Text:Let A be an n x n matrix.Which of the following statements is (are) true? Ⓒa) If Ax = Ax for some scalar A, the x is an eigenvector of A Statements b and d Statements a, b and d b)lf v₁ and v₂ are linearly independent eigenvectors, then they correspond to distinct eigenvalues Statements a, c and d Oc)An eigenspace of A is a null space of a certain matrix Statements cand d d)if A² is a zero matrix, then the only eigenvalue of A is 0
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