Given are two square matrices of the same dimension, M and N.(adsbygoogle = window.adsbygoogle || []).push({});

M is symmetric. N is non singular.

From M and N form the symmetric matrix,

M N

N* 0

Where N* is the transpose of N.

Is the signature of this matrix necessarily zero? Counterexample?

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

Join Physics Forums Today!

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

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

# Is the signature of this matrix zero?

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