Vector Spaces, Polynomials Over Fields

  • Thread starter Seacow1988
  • Start date
  • #1

Main Question or Discussion Point

Vector Spaces, Polynomials "Over Fields"

What does it mean when a vectors space is "over the field of complex numbers"? Does that mean that scalars used to multiply vectors within that vector space come from the set of complex numbers?

If so, what does it mean when a polynomial, p(x) is "over the field of complex numbers"?

Thanks!
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
25,832
250
Welcome to PF!

Hi Seacow1988! Welcome to PF! :smile:
What does it mean when a vectors space is "over the field of complex numbers"? Does that mean that scalars used to multiply vectors within that vector space come from the set of complex numbers?
Yup! :biggrin:
If so, what does it mean when a polynomial, p(x) is "over the field of complex numbers"?
p(x) = ∑ anxn where all the ans are complex numbers :wink:
 

Related Threads on Vector Spaces, Polynomials Over Fields

Replies
5
Views
2K
  • Last Post
Replies
8
Views
3K
Replies
4
Views
3K
Replies
2
Views
2K
Replies
5
Views
2K
Replies
15
Views
13K
Replies
15
Views
7K
Replies
1
Views
5K
Replies
5
Views
1K
Top