Subspace and subset

  • Thread starter Max.Planck
  • Start date
  • #1
129
0
Hi,

A quick question:
Does a set need to be a subset to be a subspace of some vector space?
 

Answers and Replies

  • #2
22,129
3,297
Hi,

A quick question:
Does a set need to be a subset to be a subspace of some vector space?

Yes, a subspace of a vector space V necessarily needs to be a subset.
 
  • #3
HallsofIvy
Science Advisor
Homework Helper
41,847
966
A vector space is a set of objects with "addition" and "scalar multiplication" defined. A "subspace" is a subset with the "inherited" addition and scalar multiplication.
 
  • #4
129
0
A vector space is a set of objects with "addition" and "scalar multiplication" defined. A "subspace" is a subset with the "inherited" addition and scalar multiplication.

Thank you!
 

Related Threads on Subspace and subset

  • Last Post
Replies
7
Views
1K
Replies
3
Views
5K
  • Last Post
Replies
4
Views
14K
  • Last Post
5
Replies
102
Views
14K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
2
Views
3K
  • Last Post
Replies
2
Views
4K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
4
Views
2K
Top