Learn English – Appropriate use of the term “transversely”

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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.

Best Answer

No, transversely is incorrect. You might consider "In contrast ..." or "On the other hand...".