Maximal dimension of vector space

From: Mate <mmatica@xxxxxxxxxxx>
Date: Fri, 08 Jun 2007 05:44:14 -0700

For n a positive integer, let V be a real vector space containing n x
n real matrices
such that trace(A B) = 0 for each A,B in V.
What is the maximal dimension for such a V?

Thank you,
Mate

.

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