3 ms·
3 is the following function: 3 == lambda x: 3*x But I think that the technical, mathematical way to think about it is: The monoid of linear functions L:R->R i
by robot_no_421 3y ago
3 is the following function:
3 == lambda x: 3*x
But I think that the technical, mathematical way to think about it is:
The monoid of linear functions L:R->R is isomorphic to the monoid (R, *)
Meaning, the structure of 1x1 matrices under multiplication is exactly the same as the structure of real numbers under multiplication.
- contravariant 3y agoImportantly matrix multiplication is the same as function composition of the linear functions, hence the analogy to functions that multiply by a factor. Seems trivial but among other things it implies associativity, which is not quite trivial for larger matrices.