matter of fact vs question of fact

matter of fact and question of fact both are nouns.

Word	Noun	Adjective	Verb	Adverb
matter of fact	Yes	No	No	No
question of fact	Yes	No	No	No

As nouns, matter of fact and question of fact are synonyms defined as:

matter of fact and question of fact: a disputed factual contention that is generally left for a jury to decide

matter of fact (noun)	question of fact (noun)
a matter that is an actual fact or is demonstrable as a fact	a disputed factual contention that is generally left for a jury to decide
a disputed factual contention that is generally left for a jury to decide