# Usage of Eigenvalue and Eigenvector [duplicate]

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I have been working with factor and cluster analysis where I found the introduction of Eigenvalue. So, I read about it and I have understood the idea how to find it but still, I am unable to see the application or the meaning(in layman's term) of it. if I will teach this to someone than what should I say? is it the direction of the vector or the transformation of a matrix into vector form. I have read that google search engine use it to show the predicted words. I am not getting how do they do it?

Can somebody please help me into this.

## marked as duplicate by GNUSupporter 8964民主女神 地下教會, John Doe, amd, cansomeonehelpmeout, user334732May 9 '18 at 19:30

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

• An eigenvector is a vector which stays pointing in the same direction after you apply a linear map (i.e. a matrix) to it. The corresponding eigenvalue is how much this vector stretches / squashes under this transformation. – John Doe May 9 '18 at 17:43
• I have been asking if there is any real life application of this. As I have read about Google search engine, but how I do not understand that, can you please explain me that. – Rahul Kumar May 9 '18 at 18:11

## 1 Answer

This has been discussed many times. Take a look here and of course wikipedia.

• This is more of a comment than an answer (but I get that you can't yet comment). Unfortunately I already voted to close this as unclear, so won't be able to close as a duplicate. Hopefully someone that sees this can vote to close as a duplicate – John Doe May 9 '18 at 17:45
• I would have commented if i could. Interestingly, it seems i can comment my own post, though. I wasn't able to close as duplicate either.. – emma May 9 '18 at 17:50
• Yep you can comment on any of you own questions or answers no matter what rep you have. I think the threshold for closing questions is 3000 rep. – John Doe May 9 '18 at 18:44