13 And he went forth again by the sea side; and all the multitude resorted unto him, and he taught them. 14 And as he passed by, he saw Levi the son of Alphaeus sitting at the receipt of custom, and said unto him, Follow me. And he arose and followed him. 15 And it came to pass, that, as Jesus sat at meat in his house, many publicans and sinners sat also together with Jesus and his disciples: for there were many, and they followed him. 16 And when the scribes and Pharisees saw him eat with publicans and sinners, they said unto his disciples, How is it that he eateth and drinketh with publicans and sinners? 17 When Jesus heard it, he saith unto them, They that are whole have no need of the physician, but they that are sick: I came not to call the righteous, but sinners to repentance.
18 And the disciples of John and of the Pharisees used to fast: and they come and say unto him, Why do the disciples of John and of the Pharisees fast, but thy disciples fast not? 19 And Jesus said unto them, Can the children of the bridechamber fast, while the bridegroom is with them? as long as they have the bridegroom with them, they cannot fast.
Matthew — gift of God, a common Jewish name after the Exile. He was the son of Alphaeus, and was a publican or tax-gatherer at Capernaum. On one occasion Jesus, coming up from the side of the lake, passed the custom-house where Matthew was seated, and said to him, “Follow me.” Matthew arose and followed him, and became his disciple (Matthew 9:9KJV
9 And as Jesus passed forth from thence, he saw a man, named Matthew, sitting at the receipt of custom: and he saith unto him, Follow me. And he arose, and followed him. ). Formerly the name by which he was known was Levi; Luke 5:27KJV
27 And after these things he went forth, and saw a publican, named Levi, sitting at the receipt of custom: and he said unto him, Follow me. ); he now changed it, possibly in grateful memory of his call, to Matthew. The same day on which Jesus called him he made a “great feast” (Luke 5:29KJV
29 And Levi made him a great feast in his own house: and there was a great company of publicans and of others that sat down with them. ), a farewell feast, to which he invited Jesus and his disciples, and probably also many of old associates. He was afterwards selected as one of the twelve (6:15). His name does not occur again in the Gospel history except in the lists of the apostles. The last notice of him is in Acts 1:13KJV
13 And when they were come in, they went up into an upper room, where abode both Peter, and James, and John, and Andrew, Philip, and Thomas, Bartholomew, and Matthew, James the son of Alphaeus, and Simon Zelotes, and Judas the brother of James. . The time and manner of his death are unknown. 
Levi’s father was Alphaeus (Mark 2:14), whom some would identify with Alphaeus the father of James, another of the apostles. However, Matthew and James are not associated with each other in the lists of the apostles, as are those pairs known to be brothers (Peter and Andrew, James and John the sons of Zebedee). 
Easton, M. (1996, c1897). Easton's Bible dictionary. Oak Harbor, WA: Logos Research Systems, Inc.
Myers, A. C. (1987). The Eerdmans Bible dictionary. Rev., augm. translation of: Bijbelse encyclopedie. Rev. ed. 1975. (Page 700). Grand Rapids, Mich.: Eerdmans.