- #1
Rodrigo Schmidt
- 14
- 5
So the statement which the proof's about is: For every linear transformation ##A##(between finite dimension spaces), the product ##A^*A## is self-adjoint. So, the proof is:
##(A^*A)^*=A^*A^{**}=A^*A##
What i don't understand is why ##(A^*A)^*=A^*A^{**}##. Isn't that true only if ##A## and ##A^*##commute?
##(A^*A)^*=A^*A^{**}=A^*A##
What i don't understand is why ##(A^*A)^*=A^*A^{**}##. Isn't that true only if ##A## and ##A^*##commute?