If you have a symmetric, nonsingular matrix [tex]A[/tex], is it always possible to find a matrix [tex]B[/tex] such that(adsbygoogle = window.adsbygoogle || []).push({});

[tex]B^T A B = 1[/tex],

where [tex]1[/tex] is the identity?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Theorem about symmetric matrices?

**Physics Forums | Science Articles, Homework Help, Discussion**