Normalising Matrices

willmoore21

Junior Member
Joined
Jan 26, 2012
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Hi guys, not 100% this is in the right place but think it goes here.

We are recapping normalizing matrices. This is a 2x2 example.

matrix A= 1 4
2 3

eigenvalues, -1,5

eigenvectors, for -1 (1,-2)t
for 5 (1, 1)t
so to normalize, do you literally just divide each eigenvector by the square root of it's eigenvalue?

so (1/i,-2/i)t and (1/sqrt(5),1/sqrt(5))t?

Thanks
 
Hi guys, not 100% this is in the right place but think it goes here.

We are recapping normalizing matrices. This is a 2x2 example.

matrix A= 1 4
2 3

eigenvalues, -1,5

eigenvectors, for -1 (1,-2)t
for 5 (1, 1)t
so to normalize, do you literally just divide each eigenvector by the square root of it's eigenvalue?

so (1/i,-2/i)t and (1/sqrt(5),1/sqrt(5))t?

Thanks

Or do you divide by adding the squares of the eigenvector values?

So for (1,-2)t it's 12+22=5, so (1/sqrt5,-2/sqrt5)?
 
Or do you divide by adding the squares of the eigenvector values?

So for (1,-2)t it's 12+22=5, so (1/sqrt5,-2/sqrt5)?

Yes, you divide by the vectors LENGTH. This makes your columns of unit length. But I'm not sure what you mean by "normalizing" a matrix.
 
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