Basis of skew symmetric matrix

  • Thread starter chuy52506
  • Start date
  • #1
chuy52506
77
0

Homework Statement


Let W be a 3x3 matrix where A^t(transpose)=-A. Find a basis for W.


Homework Equations



Find a basis for W.

The Attempt at a Solution


I have no idea how to start it.
 

Answers and Replies

  • #2
Phrak
4,265
2
What is the dimension of A? Count the independent elements.
 
  • #3
chuy52506
77
0
the dimension is 9 correct? I don't know how to express the basis though.
 
  • #4
Phrak
4,265
2
9 is the dimension of an arbitrary 3x3 matrix. Under the constraint AT = -A you have fewer independent elements. Can you identify which elements are dependent upon or equal to one another?
 

Suggested for: Basis of skew symmetric matrix

Replies
14
Views
455
Replies
4
Views
2K
  • Last Post
Replies
9
Views
632
Replies
6
Views
259
Replies
4
Views
193
Replies
5
Views
216
Replies
15
Views
1K
Top