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eigens - 8 6 Select all that apply. 2+2 i 2-2i O A. A= 4 + 2 i; v = O B. A= - 4 + 2 i; v = 2 2-2i 2+2 i O c. A= 4-2 i; v = D. A= - 4 - 2 i; v = 2+2i Ε. λ 2-4t v=| 2-2i F. 1=2+4 i; v = 8 8 2+2 i 2-: - 2i ή . λ 4-2ή v= O H. A= 4 + 2 i; v = 8. 8. 2.

eigens - 8 6 Select all that apply. 2+2 i 2-2i O A. A= 4 + 2 i; v = O B. A= - 4 + 2 i; v = 2 2-2i 2+2 i O c. A= 4-2 i; v = D. A= - 4 - 2 i; v = 2+2i Ε. λ 2-4t v=| 2-2i F. 1=2+4 i; v = 8 8 2+2 i 2-: - 2i ή . λ 4-2ή v= O H. A= 4 + 2 i; v = 8. 8. 2.

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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Let the matrix (SEE PICTURE) act on ℂ2. Find the eigenvalues and a basis for each eigenspace in ℂ2.

2 1 Let the matrix act on C2. Find the eigenvalues and a basis for each eigenspace in C2. -8 6 Select all that apply. 2 + 2i 2-2 i O A. A= 4 +2 i; v = B. A= - 4 +2 i; v = 4 2-2i 2+2i O c. A= 4- 2 i; v = D. A= - 4-2 i; v = 2 2+ 2i 2-2i E. A=2-4 i; v = F. A= 2+4 i; v = 8 8 2+2 i 2-2i G. A= 4 - 2 i; v = H. A= 4 + 2 i; v = 8. 8.
Transcribed Image Text:2 1 Let the matrix act on C2. Find the eigenvalues and a basis for each eigenspace in C2. -8 6 Select all that apply. 2 + 2i 2-2 i O A. A= 4 +2 i; v = B. A= - 4 +2 i; v = 4 2-2i 2+2i O c. A= 4- 2 i; v = D. A= - 4-2 i; v = 2 2+ 2i 2-2i E. A=2-4 i; v = F. A= 2+4 i; v = 8 8 2+2 i 2-2i G. A= 4 - 2 i; v = H. A= 4 + 2 i; v = 8. 8.
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