8 1 act on C2. Find the eigenvalues and a basis for each eigenspace in C2. Let the matrix - 10 2 Select all that apply. - 3+ 3- A. A= 1-5i; v= B. A= -5+ i; v = 10 -3+ i 3-i O c. A= 5+ iv = O D. A=5+ i; v = 5 10 -3-i -3+ O E. A=5- i; v= O F. A= -5- i v= - 3- i O G. A=1+5 i; v = O H. A=5- i; v= 10 10

8 1 act on C2. Find the eigenvalues and a basis for each eigenspace in C2. Let the matrix - 10 2 Select all that apply. - 3+ 3- A. A= 1-5i; v= B. A= -5+ i; v = 10 -3+ i 3-i O c. A= 5+ iv = O D. A=5+ i; v = 5 10 -3-i -3+ O E. A=5- i; v= O F. A= -5- i v= - 3- i O G. A=1+5 i; v = O H. A=5- i; v= 10 10

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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A: Solution

Question

8 1
act on C2. Find the eigenvalues and a basis for each eigenspace in C2.
Let the matrix
- 10 2
Select all that apply.
- 3+
3-
A. A= 1-5i; V=
B. A= -5+ i; v=
10
-3+ i
3-i
O c. A= 5+ iv =
O D. A=5+ i; v =
5
10
-3- i
-3+
O E. A=5- i; v=
O F. A= -5- i v=
- 3- i
O G. A=1+5 i; v=
O H. A=5- i; v=
10
10

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