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Basis of skew symmetric matrix

  • Thread starter chuy52506
  • Start date
  • #1
77
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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
4,239
1
What is the dimension of A? Count the independent elements.
 
  • #3
77
0
the dimension is 9 correct? I don't know how to express the basis though.
 
  • #4
4,239
1
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?
 

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