anonymous
  • anonymous
Can someone help me figure out the eigenvector?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
|dw:1327807423151:dw|
anonymous
  • anonymous
the eigenvalue is 2 but I cant figure out the eigenvector
anonymous
  • anonymous
After subtracting the two matrices this is what I got |dw:1327807555690:dw|

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anonymous
  • anonymous
What wld the answer be?
anonymous
  • anonymous
preetha i thought u were going to chat with my older sis I hid her laptop so she wouldn't keep emailing you
anonymous
  • anonymous
ok so the eigenvalue is 2. The eigenvector associated with 2 we will call X and we need: \[AX=2X\] 0 0 -1 x 2x 0 -1 -4 y = 2y 0 0 1 z 2z So use matrix multiplication: -z = 2x, -y -4z = 2y, z=2z the last one implies z=0, and that implies that x=0. We have then -y=2y which means y=0 too, so the 0 vector is the eigenvector associated with 2...
anonymous
  • anonymous
maybe someone can verify this is right...I need to sleep!
anonymous
  • anonymous
ok I am gonna look this over
anonymous
  • anonymous
Thanks :D
anonymous
  • anonymous
Obviously here X = (x,y,z)^t and you do this for each eigenvalue...
anonymous
  • anonymous
ummm i think u used the wrong matrice
anonymous
  • anonymous
cuzz I was using a diff method so that is y i showed u that matrice
anonymous
  • anonymous
ohh, you were using the method: \[(A-2I)X = 0\] ?
anonymous
  • anonymous
yes
anonymous
  • anonymous
well use the correct matrix and just use my steps above as a blueprint, you can't go far wrong...
anonymous
  • anonymous
idk okk whtvr
anonymous
  • anonymous
Thanks I really appreciate ur help :DDDDDDDDDDD
anonymous
  • anonymous
:D
anonymous
  • anonymous
NO I may have sounded rude but seriously I realy appreciate ur help :DDD
mathmate
  • mathmate
|dw:1327836820216:dw| For \( \lambda = 2 \), since the first column is all zeroes, this would be your free variable and the eigenvector is (1,0,0). Have you found the eigenvector corresponding to the other eigenvalues?

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