decisive factor vs determinant

decisive factor and determinant both are nouns.

Word	Noun	Adjective	Verb	Adverb
decisive factor	Yes	No	No	No
determinant	Yes	Yes	No	No

As nouns, determinant is a hypernym of decisive factor; that is, determinant is a word with a broader meaning than decisive factor:

decisive factor: a point or fact or remark that settles something conclusively
determinant: a determining or causal element or factor

Other hypernyms of decisive factor include causal factor, determinative, determiner, determining factor.

decisive factor (noun)	determinant (noun)
a point or fact or remark that settles something conclusively	a determining or causal element or factor
	a square matrix used to solve simultaneous equations
	the site on the surface of an antigen molecule to which an antibody attaches itself

decisive factor (adjective)	determinant (adjective)
	having the power or quality of deciding