Matrix times the transpose of itself, all inverse. Any interesting properties?

Question

I was wondering if $(A A^T) ^{-1}$ had any interesting properties and if it could be simplified into a different form?

Welcome to MSE. Please read this text about how to ask a good question. — José Carlos Santos, Sep 24 '19 at 07:57
The title talks about $(AA^T)^2$, the body of the question talks about $(AA^T)^{-1}$. Which is it? — almagest, Sep 24 '19 at 09:10

score 0 · Answer 1 · answered Sep 24 '19 at 08:28

0

This type of matrix is called the $ \ Gramian$ matrix. You can study it's properties on Wikipedia.

answered Sep 24 '19 at 08:28

Aamir Raj LC

I had a look, I can't seem to recognise how this is a Gramian matrix. – MrFizz Sep 24 '19 at 11:42
Refer to http://mlwiki.org/index.php/Gram_Matrices . This website has a pretty good introduction to gram matrix and its properties. – Aamir Raj LC Sep 24 '19 at 13:38
It's the inverse of a Gramian, which is not quite what you wrote. – Rodrigo de Azevedo Sep 24 '19 at 21:34

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