as a matter of fact (ALSO in (actual) fact)
used to add emphasis to what you are saying, or to show that it is the opposite of or different from what went before:
No I don't work. In fact, I've never had a job.
"Have you always lived here?" "As a matter of fact (= The truth is) I've only lived here for the last three years".

[TahlilGaran] Advanced Learner's Dictionary ▲

as a matter of fact
actually.
I did vote for her, as a matter of fact.

Usage notes: used to emphasize the truth of what you are saying
Related vocabulary: in truth, in reality

[TahlilGaran] English Idioms Dictionary ▲

as a matter of fact
actually; used to emphasize that something is true or actually happened
"As a matter of fact, we have been to the history museum many times."

"As a matter of fact, I saw him last night and he asked me how you were."

[TahlilGaran] English Idioms Dictionary ▲

as a matter of fact
adv. phr. Actually; really; in addition to what has been said; in reference to what was said.
■ Often used as an interjection.
It's not true that I cannot swim; as a matter of fact, I used to work as a lifeguard in Hawaii.
Do you think this costs too much? As a matter of fact, I think it is rather cheap.

[TahlilGaran] English Idioms Dictionary ▲