MathDB
IMC 2005 day 2 pb3

Source: Peter

July 26, 2005
vectorlinear algebramatrixabstract algebracomplex numbersIMCcollege contests

Problem Statement

What is the maximal dimension of a linear subspace V V of the vector space of real n×n n \times n matrices such that for all A A in B B in V V, we have \text{trace}\left(AB\right) \equal{} 0 ?
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