Vectors and linear maps
Lists of numbers treated as one object, the transforms that stretch and turn them, and why stacking those transforms gets you nothing new on its own.
Read in order
- Comparing whole lists of numbersWhen a list becomes one object, how can its arithmetic compare two patterns, and what can that comparison never tell you?
- Two rules fix the whole transformAmong all the ways to turn one list of numbers into another, what do preserving sums and preserving scale force a transform to do, and what remains impossible after any number of them are applied in a row?