I wish to choose a matrix $B$ such that the following expression is equal to zero \begin{equation} \text{Tr}[B^*A]+\text{Tr}[BA^*]=0 \end{equation} In order for this to be true for all $A$ do I require $B=0$? This is the trivial solution but I wish to know if it is also the only solution?
2026-03-12 04:52:57.1773291177
Choose a matrix $B$ such that Tr$[B^*A]+$Tr$[BA^*]=0$ always. Is $B=0$?
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