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0 01/2 0 Let B = PAP-¹. 9. Let A = (a) What is P-¹? 0 0 1/3] . Let P = న/న/- ostst (b) What are the eigenvalues A₁, A2, A3 of B? 0 Note that P is an orthogonal matrix.

0 01/2 0 Let B = PAP-¹. 9. Let A = (a) What is P-¹? 0 0 1/3] . Let P = న/న/- ostst (b) What are the eigenvalues A₁, A2, A3 of B? 0 Note that P is an orthogonal matrix.

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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(d) Let v = (1,1,1). Write v as a linear combination of eigenvectors of B. (e) What does Bkv converge to as k → ∞? (f) State the eigenvalues and corresponding eigenvectors of A.
Transcribed Image Text:(d) Let v = (1,1,1). Write v as a linear combination of eigenvectors of B. (e) What does Bkv converge to as k → ∞? (f) State the eigenvalues and corresponding eigenvectors of A.
9. Let A = 0 1/2 0 0 Let B = PAP-¹. (a) What is P-¹? 0 0 1/3] Let P = (b) What are the eigenvalues A₁, A2, A3 of B? Note that P is an orthogonal matrix. (c) Give eigenvectors X₁, X2, X3 that corresponds to each eigenvalue of B in (b)?
Transcribed Image Text:9. Let A = 0 1/2 0 0 Let B = PAP-¹. (a) What is P-¹? 0 0 1/3] Let P = (b) What are the eigenvalues A₁, A2, A3 of B? Note that P is an orthogonal matrix. (c) Give eigenvectors X₁, X2, X3 that corresponds to each eigenvalue of B in (b)?
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