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2b) What are the eigenvalues of (A - σI)-¹? Hint: Your answer should eigenvalues of A−¹ are involve o and A; (for j = 1, ···, n). First, find eigenvalues of A -oI. Then take advantage of the fact that (for j = 1,...,n).

2b) What are the eigenvalues of (A - σI)-¹? Hint: Your answer should eigenvalues of A−¹ are involve o and A; (for j = 1, ···, n). First, find eigenvalues of A -oI. Then take advantage of the fact that (for j = 1,...,n).

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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Then V² (A-0I) V = V²AV = v's IV -ov'r (by (1) =^-6 A =^= 0 I Since 1 and oI are diagonal matrix ⇒1-01 is also diagonal matrize. => > (A-01) = V(^-0I) V!
Transcribed Image Text:Then V² (A-0I) V = V²AV = v's IV -ov'r (by (1) =^-6 A =^= 0 I Since 1 and oI are diagonal matrix ⇒1-01 is also diagonal matrize. => > (A-01) = V(^-0I) V!
2b) What are the eigenvalues of (A - σI)-¹? Hint: Your answer should eigenvalues of A−¹ are involve o and A; (for j = 1, ···, n). First, find eigenvalues of A -oI. Then take advantage of the fact that (for j = 1,...,n).
Transcribed Image Text:2b) What are the eigenvalues of (A - σI)-¹? Hint: Your answer should eigenvalues of A−¹ are involve o and A; (for j = 1, ···, n). First, find eigenvalues of A -oI. Then take advantage of the fact that (for j = 1,...,n).
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