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The energy of a matrix is the sum of its singular values.
We study the energy of $(0,1)$-matrices and present two methods for
constructing balanced incomplete block designs whose incidence
matrices have the maximum possible energy amongst the family of all
$(0,1)$-matrices of given order and total number of ones. We also
find a new upper bound for the energy of $(p,q)$-bipartite graphs.
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