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III) Consider 1 1 3 A = -1 1 4 0 0 2) Which one of the following statements is true? a) 1 is an eigenvalue of A. b) i is an eigenvalue of A. c) 1+i is an eigenvalue of A. d) v2 is an eigenvalue of A. e) None of the above.

III) Consider 1 1 3 A = -1 1 4 0 0 2) Which one of the following statements is true? a) 1 is an eigenvalue of A. b) i is an eigenvalue of A. c) 1+i is an eigenvalue of A. d) v2 is an eigenvalue of A. e) None of the above.

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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I) In R², equipped with its Euclidean product, consider the plane L = Span(p) spanned ()- by p= If u = and PL(u) = 2p, what is the value of b. II) Consider R with its Euclidean inner product. If M is the span in R' of the following 4 vectors what is the dimension of M+? III) Consider 1 1 3 A = -1 1 4 0 02 . Which one of the following statements is true? a) 1 is an eigenvalue of A. b) i is an eigenvalue of A. c) 1+i is an eigenvalue of A. d) v2 is an eigenvalue of A. e) None of the above. IV) Consider V3 A = V3 2 2 Which one of the following statements is true? a) is an eigenvector of A. b) is an eigenvector of A. V3 c) is an eigenvector of A. 3 d) is an eigenvector of A. V3 2 e) None of the above.
Transcribed Image Text:I) In R², equipped with its Euclidean product, consider the plane L = Span(p) spanned ()- by p= If u = and PL(u) = 2p, what is the value of b. II) Consider R with its Euclidean inner product. If M is the span in R' of the following 4 vectors what is the dimension of M+? III) Consider 1 1 3 A = -1 1 4 0 02 . Which one of the following statements is true? a) 1 is an eigenvalue of A. b) i is an eigenvalue of A. c) 1+i is an eigenvalue of A. d) v2 is an eigenvalue of A. e) None of the above. IV) Consider V3 A = V3 2 2 Which one of the following statements is true? a) is an eigenvector of A. b) is an eigenvector of A. V3 c) is an eigenvector of A. 3 d) is an eigenvector of A. V3 2 e) None of the above.
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