Hyperplane question

  • #1
In studying for my Linear Algebra test on Monday, I came across a question in my textbook that defines a hyperplane and asks what the dimension of a hyperplane is in Rn. I immediately knew the answer to be n-1, but am having difficulty justifying this claim.

The only thing I can think of now are geometric justifications in the cases of R2 and R3. Using only these, is it valid for me to say the dimension of a hyperplane in Rn is n-1 for any n?
 

Answers and Replies

  • #2
35,062
6,794
Look in your book for the definition of a hyperplane.
 

Related Threads on Hyperplane question

  • Last Post
Replies
2
Views
1K
Replies
4
Views
1K
Replies
2
Views
1K
Replies
3
Views
6K
  • Last Post
Replies
7
Views
3K
  • Last Post
Replies
6
Views
613
  • Last Post
Replies
1
Views
914
  • Last Post
Replies
1
Views
2K
Top