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On the nonsingularity of complex matrices

On the nonsingularity of complex matrices

Let A -(aij) be a real square matrix of order n with nonnegative entries, and let M(A) be the class of all complex matrices B = (6^) of order n such that, for all i, j, 1b i3 [ = a i3 .If every matrix in M(A) is nonsingular, we …