A lot of open problems in mathematics boil down to trying to analyse "matrices of a specific form" - I think while this viewpoint is important to recognise (ess

A lot of open problems in mathematics boil down to trying to analyse "matrices of a specific form" - I think while this viewpoint is important to recognise (essentially: quaternions are a finite-dimensional real associative algebra), it might not give as much intuition as other interpretations. It's kind of like how in computer science, many many hard problems can be restated as problems about some graph constructed from the input, but now you have two problems...