Was Matthew a tax collector

Judas Iscariot was a thief. John 12:6, ........... he was a thief, and had the bag, and bare what was put therein. It was Matthew that was the Tax Collector (Publican); Matthew10:3 Philip, and Bartholomew; Thomas, and Matthew the PUBLICAN; James the son of Alphaeus, and Lebbaeus, whose surname was Thaddaeus;