SOLUTION: Discuss in detail why the dimension of a finite dimensional vector space is well-defined.

Algebra ->  Test  -> Lessons -> SOLUTION: Discuss in detail why the dimension of a finite dimensional vector space is well-defined.      Log On


   



Question 1204482: Discuss in detail why the dimension of a finite dimensional vector space is well-defined.
Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
.

Open your Algebra textbook and read / learn from there . . .


It is WHY your textbooks do exist and why you should learn from them.


Alternatively (if you are not satisfied as your textbook treats this issue), read from this source

https://www.quora.com/Why-is-the-dimension-of-a-vector-space-well-defined-How-do-I-know-that-all-such-bases-must-have-the-same-number-of-elements