3 ms·

A vector v = (v[0], v[1], v[2], ..., v[100]) is exactly the same thing as a function v taking a number i and returning a value v[i]. Since you can sum scalars

A vector v = (v[0], v[1], v[2], ..., v[100]) is exactly the same thing as a function v taking a number i and returning a value v[i]. Since you can sum scalars to functions, it is natural to sum scalars to vectors.

medo-bear 3y ago
Perhaps this is really a personal preference, but in maths I really dislike ambiguity. There are is just way better notation for this. For example Einstein notation or Rici calculus? Besides being succint, it is explicit and well understood. Even just using plain i,j indicies is not too cumbersome. But for a b scalars and A a matrix B = aA + b is not well defined.
- sampo 3y ago
  What else could 2*A + 1 mean, than this? [1 2] [3 5] 2 [ ] + 1 = [ ] [3 4] [7 9]
  - medo-bear 3y ago
    What's wrong with, [1 2] [1 2] 2 [ ] + 1 = 3 [ ] [3 4] [3 4] or, better yet, nothing. Mathematically that operation is not defined.