7-3 Is =4 an eigenvalue of A = ? Why or why not? 3 Choose the correct answer belou

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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7-3
Is =4 an eigenvalue of A =
Why or why not?
3
Choose the correct answer below.
O A. Yes, À is an eigenvalue of A because (A-AI) is invertible.
O B. Yes, A is an eigenvalue of A because Ax = Ax has a nontrivial solution.
O C. No, 2 is not an eigenvalue of A because Ax = Ax has a nontrivial solution.
D. No, À is not an eigenvalue of A because Ax = ix only has the trivial solution.
O E. Yes, A is an eigenvalue of A because Ax = 0 only has the trivial solution. .
OF. No, A is not an eigenvalue of A because Ax 0 only has the trivial solution.
Transcribed Image Text:7-3 Is =4 an eigenvalue of A = Why or why not? 3 Choose the correct answer below. O A. Yes, À is an eigenvalue of A because (A-AI) is invertible. O B. Yes, A is an eigenvalue of A because Ax = Ax has a nontrivial solution. O C. No, 2 is not an eigenvalue of A because Ax = Ax has a nontrivial solution. D. No, À is not an eigenvalue of A because Ax = ix only has the trivial solution. O E. Yes, A is an eigenvalue of A because Ax = 0 only has the trivial solution. . OF. No, A is not an eigenvalue of A because Ax 0 only has the trivial solution.
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