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Found problems: 1

2019 Teodor Topan, 4
Tags: transpose , linear algebra , matrix
Calculate the minimum value of $ \text{tr} (A^tA) , $ where $ A $ in the cases where is a matrix of pairwise distinct nonnegative integers and: [b]a)[/b] $ \det A\equiv 1\pmod 2 $ [b]b)[/b] $ \det A=0 $ [i]Vlad Mihaly[/i]