These are very good puzzles, Matthew! More magic tricks with adjoints! I won't give away the answers. I'll just reassure everyone that "right Galois adjoint" means the same thing as what I'm calling "right adjoint", and "left Galois adjoint" means the same thing as "left adjoint".

Since I explained how to compute adjoints in [Lecture 6](https://forum.azimuthproject.org/discussion/1901/lecture-6-chapter-1-computing-adjoints), all of you can work out the answers to MD Puzzles 2 and 3 by simply _computing_ the adjoints.

Since I explained how to compute adjoints in [Lecture 6](https://forum.azimuthproject.org/discussion/1901/lecture-6-chapter-1-computing-adjoints), all of you can work out the answers to MD Puzzles 2 and 3 by simply _computing_ the adjoints.