(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that (AB)^+ = A^+ B^+ using index notation

2. Relevant equations

+ is the Hermitian transpose

3. The attempt at a solution

I know that AB = Ʃa_ik b_kj summed over k

so (AB)^+ = (Ʃa_ik b_kj)^+ = Ʃ (a_ik b_kj)^+ = Ʃ (a_ik)^+(b_kj)^+ = A^+ B^+

I am not really sure if this makes sense, I don't know if it is acceptable to distribute the transpose within the sum.

**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!

# Hermitian Identity

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