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== Uniqueness ==
The factorization is not unique: A matrix and its [[inverse matrix|inverse]] can be used to transform the two factorization
: <math>\mathbf{WH} = \mathbf{WBB}^{-1}\mathbf{H}</math>
If the two new matrices <math>\mathbf{\tilde{W} = WB}</math> and <math>\mathbf{\tilde{H}}=\mathbf{B}^{-1}\mathbf{H}</math> are [[non-negative matrix|non-negative]] they form another parametrization of the factorization.
The non-negativity of <math>\mathbf{\tilde{W}}</math> and <math>\mathbf{\tilde{H}}</math> applies at least if <b>B</b> is a non-negative [[monomial matrix]].
In this simple case it will just correspond to a scaling and a [[permutation]].
== Sources and external links ==
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