Archibald Malcolm (Archie) Matheson was a Canadian politician who represented Vegreville in the Legislative Assembly of Alberta from 1921 until 1935. He was elected in the 1921 election and re-elected in 1926 and 1930 as a member of the United Farmers of Alberta (UFA), which was the governing party of his entire time in office.

The 1921 Alberta general election was held on July 18, 1921, to elect members to the 5th Alberta Legislative Assembly. It was one of only five times that Alberta has changed governments.