^^Spazio vettoriale delle combinazioni lineari formali.

Combinazione lineare formale (di vettori e scalari)

a1u1 + a2u2 + ... + anun   ≡  ∑akuk

u1 u2 ... un   tupla dei simboli, o vt formali

a1 a2 ... an   tupla del coefficienti, scalari di un campo K

 

u1 u2 ... un   and “+” are symbols that do not mean anything by themselves except that they can appear in such linear combinations and have familiar properties of algebraic objects (the operation “+” is commutative and associative, etc.).

Such formal constructions are often encountered in mathematics.

ref: Linear Algebra via Exterior Products  pag.17 https://github.com/winitzki/linear-algebra-book

https://www.youtube.com/watch?v=x4c_kAmKP9E Determinants via Exterior Products (Determinants Done Right Part 4)

 

rob: sostanzialmente e' isomorfo a Kⁿ !

Links

Somma, prodotto, operazioni formali.