Just like we know that Luke was a physician, Matthew was an Apostle. The Apostles Matthew and Peter received the same revelation of the Oneness of Jesus because Luke testified that Jesus opened up their understanding of the Scriptures. As they were of one mind and one accord, we assume they conducted themselves in the same manner regarding baptism.
Whether Luke dispensed medicine as a physician during the time of the Book of Acts, we can see:
Along these same lines of logic, we can assume Matthew never baptized anyone in the Name of Jesus:
There are no scriptural references to show that Matthew baptized in The Name of Jesus, so that must mean he didn't.
Logic. What a terrible thing!
__________________ "I have had a perfectly wonderful evening, but this wasn't it."