Definition of matter of fact
noun
something that belongs to the sphere of fact as distinct from opinion or conjecture:it’s a matter of fact that they had a relationship Law the part of a judicial inquiry concerned with the truth of alleged facts. Often contrasted with matter of law.
adjective
(matter-of-fact) unemotional and practical:he was characteristically calm and matter-of-fact concerned only with factual content rather than style or expression:the text is written in a breezy matter-of-fact manner