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In [[mathematics]], a '''nonnegative matrix''' is a [[matrix (mathematics)|matrix]] in which all the elements are equal to or greater than zero
: <math>\mathbf{X} \geq 0, \qquad \forall {i,j}\
A '''positive matrix''' is a matrix in which all the elements are greater than zero. The set of positive matrices is a subset of all non-negative matrices.
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