matter of fact

Short definition from Wiktionary

Noun

1. 1
   An issue concerning the factual circumstances of a cause of action that is to be tried or proved; an allegation forming the basis of a claim or defense, as opposed to a matter of law.
2. 2
   A point of fact; a claim or statement about (empirical) facts, as opposed to conjecture or opinion.

Phrase

1. 1
   Ellipsis of as a matter of fact.

Adjective

1. 1
   Of, or relating to facts only; literal, realistic.
2. 2
   Lacking emotion or color.
3. 3
   Straightforward, blunt, frank; treating the situation as normal; not embarrassed, coy, or dramatic.