Hello,(adsbygoogle = window.adsbygoogle || []).push({});

can you help me with the proof? If A is normal

[tex]A^TA=AA^T[/tex]

then A and A^T have the same nullspace (kernel). And

[tex]||Ax||=||A^Tx||[/tex]

Thank you.

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

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

# Normal matrices

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