Solution (source code)

= Solution

An <adjoint operator> of $T:V\to V$ is a <linear map> $T^*:V\to V$ satisfying
$$
\boxed{\langle Tu,w\rangle=\langle u,T^*w\rangle\qquad\text{for all }u,w\in V}.
$$
This identity transfers $T$ from the first input of the <inner product> to the second.