Archibald Malcolm (Archie) Matheson was a Canadian politician who represented Vegreville in the Legislative Assembly of Alberta from 1921 until 1935.

"[3] In 1926, he expressed frustration with the John Brownlee government's delay in providing a new police station for his riding, going so far as to threaten to raise the matter in the legislature.

[5] Matheson was also an active opponent of the Sexual Sterilization Act of Alberta, and attempted to adjourn debate before it came to a vote.

[6] He was a vocal advocate for farmers and in the 1930s proposed unsuccessfully that the government declare a moratorium on the collection of debts from them.

[8] Matheson sought re-election in the 1935 election, but finished a distant third, joining every UFA candidate in the province in defeat, as William Aberhart's new Social Credit League achieved a large majority.