2 1 act on C2. Find the eigenvalues and a basis for each eigenspace in C2. Let the matrix - 61 12 Select all that apply. 5 + 6i O A. A=7+6 i; v = | 5 -6i B. A= 6+7i; v = 61 5-6i 5 +6i O c. A=7-6i; v = D. A=7-6i; v = 61 5-6 i 5- 6i ] E. A= - 7 +6 i; v = O F. 1=7+6 i; v = 61 5 + 6 i 5+6i O G. A= -7-6 i; v = Η. λΕ6-7j v= 7 61

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let the matrix
act on C2. Find the eigenvalues and a basis for each eigenspace in C?.
- 61 12
Select all that apply.
5+6i
5 -6i
O A. A=7+6 i; v =
B. A=6+7i; v =
7
61
5-6 i
5 +6i
O c. A=7-6i; v =
O D. 1= 7-6 i; v =
61
5 -6i
5 -6i
O E. A= -7+6 i; v =
O F. A= 7+6 i; v =
61
5 +6i
5+6 i
O G. A= - 7-6 i; v =
O H. A=6-7 i; v =
61
Transcribed Image Text:Let the matrix act on C2. Find the eigenvalues and a basis for each eigenspace in C?. - 61 12 Select all that apply. 5+6i 5 -6i O A. A=7+6 i; v = B. A=6+7i; v = 7 61 5-6 i 5 +6i O c. A=7-6i; v = O D. 1= 7-6 i; v = 61 5 -6i 5 -6i O E. A= -7+6 i; v = O F. A= 7+6 i; v = 61 5 +6i 5+6 i O G. A= - 7-6 i; v = O H. A=6-7 i; v = 61
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