2 1 act on C2. Find the eigenvalues and a basis for each eigenspace in C2. Let the matrix -2 4 Select all that apply. 1+ 1+ i O A. 1=3+ i; v = O B. 1=1-3 i; v = 3 1- i O C. A=3- i; v = 1 1+ i O D. 1=3- i; v = 2 1- i O E. 1=3+ i; v = O F. 1 =1+3 i; v = 2 1- i 1+ i O G. A= - 3 + i; v = O H. 1= - 3- i; v = 1 3
2 1 act on C2. Find the eigenvalues and a basis for each eigenspace in C2. Let the matrix -2 4 Select all that apply. 1+ 1+ i O A. 1=3+ i; v = O B. 1=1-3 i; v = 3 1- i O C. A=3- i; v = 1 1+ i O D. 1=3- i; v = 2 1- i O E. 1=3+ i; v = O F. 1 =1+3 i; v = 2 1- i 1+ i O G. A= - 3 + i; v = O H. 1= - 3- i; v = 1 3
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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Transcribed Image Text:2 1
Let the matrix
act on C2. Find the eigenvalues and a basis for each eigenspace in C2.
-2 4
Select all that apply.
1+ i
1+ i
O A. 1=3+ i; v =
B. 1=1-3 i; v =
2
1- i
1+ i
O C. ^=3- i; v =
1
D. 1=3- i; v =
2
1- i
1-
F. A= 1+3 i; v =
2
O E. ^=3+ i; v =
2
1- i
1+ i
O G. 1= - 3 + i; v =
H. A= - 3- i; v =
3
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