How to show that for a given square matrices $N(A) = R{(A^*)}^\perp$ and $N(A^*)=R{(A)}^\perp$ where $N(A) $ and $R(A) $ are the null and range spaces of matrix $A$, respectively?
I am not able to figure out how to start?I find difficulty when I have to deal with the orthogonal complement of subspaces.
Thanks for helping me.