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Is λ = -3 an eigenvalue of A = -1 4 69 Choose the correct answer below. ? Why or why not? O A. No, λ is not an eigenvalue of A because Ax=>x only has the trivial solution. O B. Yes, λ is an eigenvalue of A because Ax=0 only has the trivial solution. C. No, λ is not an eigenvalue of A because Ax=2x has a nontrivial solution. O D. No, λ is not an eigenvalue of A because Ax=0 only has the trivial solution. OE. Yes, λ is an eigenvalue of A because Ax=2x has a nontrivial solution. OF. Yes, λ is an eigenvalue of A because (A-AI) is invertible.

Is λ = -3 an eigenvalue of A = -1 4 69 Choose the correct answer below. ? Why or why not? O A. No, λ is not an eigenvalue of A because Ax=>x only has the trivial solution. O B. Yes, λ is an eigenvalue of A because Ax=0 only has the trivial solution. C. No, λ is not an eigenvalue of A because Ax=2x has a nontrivial solution. O D. No, λ is not an eigenvalue of A because Ax=0 only has the trivial solution. OE. Yes, λ is an eigenvalue of A because Ax=2x has a nontrivial solution. OF. Yes, λ is an eigenvalue of A because (A-AI) is invertible.

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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Is λ = -3 an eigenvalue of A = -1 4 69 Choose the correct answer below. ? Why or why not? O A. No, λ is not an eigenvalue of A because Ax = λx only has the trivial solution. Yes, λ is an eigenvalue of A because Ax = 0 only has the trivial solution. O B. O C. No, λ is not an eigenvalue of A because Ax = λx has a nontrivial solution. D. No, λ is not an eigenvalue of A because Ax = 0 only has the trivial solution. O E. Yes, λ is an eigenvalue of A because Ax = λx has a nontrivial solution. O F. Yes, λ is an eigenvalue of A because (A-AI) is invertible.
Transcribed Image Text:Is λ = -3 an eigenvalue of A = -1 4 69 Choose the correct answer below. ? Why or why not? O A. No, λ is not an eigenvalue of A because Ax = λx only has the trivial solution. Yes, λ is an eigenvalue of A because Ax = 0 only has the trivial solution. O B. O C. No, λ is not an eigenvalue of A because Ax = λx has a nontrivial solution. D. No, λ is not an eigenvalue of A because Ax = 0 only has the trivial solution. O E. Yes, λ is an eigenvalue of A because Ax = λx has a nontrivial solution. O F. Yes, λ is an eigenvalue of A because (A-AI) is invertible.
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