In the following paragraph, is it appropriate to use the term "transversely" to describe something that has the opposite effect?
Tests have shown that the lower the range, the more likely that a submatrix will be singular. Transversely, the larger the range, the least likely that a submatrix will be singular.
If not, is there another word that I can use instead? I know that, in this instance, I cannot use the word "conversely" as this means something totally different.