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?