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December 5th, 2007, 03:05 PM   #1
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moving in the direction of eigen vector

How can I move in the direction of an eigen vector.

I have a 2d space( that is between red and green color), in which i have plotted my distribution , a sort of a joint histogram between red and green color. I have a mean point in my distribution.

Now I have eigen vectors of the covariance matrix of red geen and blue color computed in PCA ( KL ) transform.

I want to move in direction of these eigen vectors and pick up points. Its easy, but i am hindered by the problem that eigen vectors is 1X 3 coloumn correspinding to any eigen value. Mean is 1X 2 vector if i take it as a position.

I can add my scaled ..1x3 eigen vector to my starting position that is mean but mean is 1x2...due to which i think ther is some big flaw in my understanding of how can i move in the direction of eigen vector...

Its something like I have my starting point, and I have to move on a line ,how can I compute more points lying on that line, what is that equation


Thankyou

mato pisa
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