Verify that λ, is an eigenvalue of A and that x; is a corresponding eigenvector. 2₁ = 8, X₁ (1, 0, 0) (1, 2, 0) λ₂ = 6, x₂ = 23 = 7, X3 AX1 = AX₂= A = AX3 8 -1 O 00 0 0 8 -1 5 1 0 61 0 07 5 8 -1 5 6 1 07 = 0 6 1 8 1 5 1 -3 0 6 1 2 = 0 07 0 0 07 17 0 = 0 ↓ 1 -4 = (-4, 1, 1) 1 -•- = = 6 0 NH = -11 ↓ 1 1 0 = 2₁x1 = 2₂x2 = 7 1=13*3
Verify that λ, is an eigenvalue of A and that x; is a corresponding eigenvector. 2₁ = 8, X₁ (1, 0, 0) (1, 2, 0) λ₂ = 6, x₂ = 23 = 7, X3 AX1 = AX₂= A = AX3 8 -1 O 00 0 0 8 -1 5 1 0 61 0 07 5 8 -1 5 6 1 07 = 0 6 1 8 1 5 1 -3 0 6 1 2 = 0 07 0 0 07 17 0 = 0 ↓ 1 -4 = (-4, 1, 1) 1 -•- = = 6 0 NH = -11 ↓ 1 1 0 = 2₁x1 = 2₂x2 = 7 1=13*3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
help please. 7
Transcribed Image Text:Verify that λ, is an eigenvalue of A and that x; is a corresponding eigenvector.
2₁ = 8, X₁ (1, 0, 0)
λ₂ = 6, x₂ = (1, 2, 0)
= (-4, 1, 1)
23 = 7, X3
AX1
A =
8 -1
O 00
AX3
=
0
8 -1 5 1
-⠀⠀
= 0 61 0 =
0 07 0
0 07
8 1 5
1
-D
AX₂=
0 6 1 2 =
0 07 0
6
5
1 17
8 -1 5
6 1
07
↓ 1
↓ 1
=
→
= 6
1
-4
=
-#10
0
NH
1
0
= 2₁x1
= 2₂x2
= 7 1=13*3
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 4 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
