Eigenvalues and Eigenvectors - Find x2(1)

Click For Summary

Homework Help Overview

The discussion revolves around the calculation of eigenvalues and eigenvectors, specifically focusing on determining the value of x2(1) based on provided parameters and expressions.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster shares their computed values for A, B, C, and D, and presents a numerical approximation for x2(1). Some participants confirm the correctness of the numerical result while suggesting the possibility of needing an exact expression instead.

Discussion Status

Participants have acknowledged the original poster's calculations, indicating that the numerical approximation may be correct. However, there is an ongoing exploration of whether an exact expression is required, and the original poster seeks further validation on a related problem.

Contextual Notes

The original poster mentions a correction to a term in their question, indicating potential confusion in the problem setup. They express a desire to ensure their understanding is solid.

dvep
Messages
43
Reaction score
0

Homework Statement




http://i1225.photobucket.com/albums/ee382/jon_jon_19/Eigen.jpg


The Attempt at a Solution



It is a bit too long to type it all out, but I was wondering whether I am correct:

I got,

A = 7/2 , B = 0 , C = -1/8 , D = 1/8

And from this I worked out, x2(1) = -1.03

Is this correct? I have been through and cannot find any faults in my working.

thank you.
 
Physics news on Phys.org
It's correct. though it's possible that they want an exact expression instead of a numerical approximation.
 
fzero said:
It's correct. though it's possible that they want an exact expression instead of a numerical approximation.

thank you for your reply, that is good to hear.

Could you also check this one http://i1225.photobucket.com/albums/ee382/jon_jon_19/Eigen2.jpg

The second term should be De^( - √(5)t), I made a mistake when writing out the question.

Just want to make sure i got a good grasp of this, my answer is 3.09

thank you
 
dvep said:
thank you for your reply, that is good to hear.

Could you also check this one http://i1225.photobucket.com/albums/ee382/jon_jon_19/Eigen2.jpg

The second term should be De^( - √(5)t), I made a mistake when writing out the question.

Just want to make sure i got a good grasp of this, my answer is 3.09

thank you

I found the same answer.
 

Similar threads

Replies
2
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 19 ·
Replies
19
Views
4K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 5 ·
Replies
5
Views
15K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
5
Views
2K