Basis and Dimension of Subspace V

  • Thread starter Merz
  • Start date
  • #1
Merz
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Homework Statement



V = the set of all symetrical nXn matrices, A=(ajk) such that ajk=akj
for all j,k=1,...,n

Determine the base and dimensions for V



The Attempt at a Solution



I set my matrix up as

[a11 a12]
[a21 a22]

So a21 and a12 are equal to each other? I assume the others are 0. How can I use any axx in a linear combination?
 

Answers and Replies

  • #2
36,706
8,699
You can't assume that a11 and a22 are zero. Also, you're dealing with n x n matrices, but the one you set up is only 2 x 2.
 

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