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In my literature reviews I found a few things that I can't quite understand.

I have the following equation:

http://img717.yfrog.com/img717/6416/31771570.jpg [Broken]

I'm told that by using the eigenvalue factorization:

http://img89.yfrog.com/img89/760/83769756.jpg [Broken]

, I can change the first equation to:

http://img28.imageshack.us/img28/5023/84802099.jpg [Broken]

I tried changing Equation 2 to just be (A^T)A and then subbing into the first equation, but I can't quite do anything with those inverses.

Also, what does the exponent of '-2' mean in the context of a 4x4 matrix? Lastly, what is matrix U?

Thank you!

## Homework Statement

I have the following equation:

http://img717.yfrog.com/img717/6416/31771570.jpg [Broken]

I'm told that by using the eigenvalue factorization:

http://img89.yfrog.com/img89/760/83769756.jpg [Broken]

, I can change the first equation to:

http://img28.imageshack.us/img28/5023/84802099.jpg [Broken]

**2. The attempt at a solution**I tried changing Equation 2 to just be (A^T)A and then subbing into the first equation, but I can't quite do anything with those inverses.

Also, what does the exponent of '-2' mean in the context of a 4x4 matrix? Lastly, what is matrix U?

Thank you!

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