Comment by whizzter

Honestly, many math teachers are kinda bad at conveying all that.

When everything clicked a few years down the line it all became so simple.

Like you mention "linear operation", the word linear doesn't always make intuitive sense in terms of rotations or scaling if you have encountered simple 1 or 2 dimensional linear transformations when doing more basic graphics programming.

As a teacher, I think the biggest lesson I had to learn was to always have at least 3 different ways of explaining everything to give different kinds of people different entrypoints into understanding concepts.

For someone uninitiated a term like "basis vector" can be pure gibberish if it doesn't follow an example of a transform as a viewport change, and it needs to be repeated after your other explanations (of for example how vector components in the source view just are scalars upon the basis vectors when multiplied with a matrix instead of a heavy un-intuitive concept).