Is transposition a common enough operation that it might be better to avoid it by having versions of the operations/functions that take matrices that do the necessary transpositions implicitly?
In practice, it can be very relevant. With my own household solar/battery system, I am sometimes frustrated more by limits on how much current I can draw, not by capacity. I could add more batteries, but it seems that the inverter is the limiting factor. And 12MW of inverter is impressive, no?
Another old person here. At an office in Zurich I saw a layer of smoke filling the upper reaches of the atrium. I wondered how many working (i.e. smoking) hours it would take before it reached the balcony on which I was standing.