Are Commodore International and Unisys ICON both computer companies?
yes
Unisys ICON
The ICON was a computer built specifically for use in schools, to fill a standard created by the Ontario Ministry of Education.
 It was based on the Intel 80186 CPU and ran an early version of QNX, a Unix-like operating system.
 The system was packaged as an all-in-one machine similar to the Commodore PET, and included a trackball for mouse-like control.
 Over time a number of GUI-like systems appeared for the platform, based on the system's NAPLPS-based graphics system.
Commodore International
Commodore International (or Commodore International Limited) was a North American home computer and electronics manufacturer.
 Commodore International (CI), along with its subsidiary Commodore Business Machines (CBM), participated in the development of the home–personal computer industry in the 1970s and 1980s.
 The company developed and marketed the world's best-selling desktop computer, the Commodore 64 (1982), and released its Amiga computer line in July 1985.
Commodore 64
The Commodore 64, also known as the C64 or occasionally CBM 64 or VIC-64 in Sweden, is an 8-bit home computer introduced in January 1982 by Commodore International (first shown at the Consumer Electronics Show, in Las Vegas, January 7–10.
 1982).
 It is listed in the Guinness World Records as the highest-selling single computer model of all time, with independent estimates placing the number sold between 10 and 17 million units.
 Volume production started in early 1982, marketing in August for US$ .
 Preceded by the Commodore VIC-20 and Commodore PET, the C64 took its name from its 64 kilobytes (65,536 bytes) of RAM.
 It had superior sound and graphical specifications compared to other earlier systems such as the Apple II and Atari 800, with multi-color sprites and a more advanced sound processor. Commodore PET
The Commodore PET (Personal Electronic Transactor) is a line of home/personal computers produced starting in 1977 by Commodore International.
 A top-seller in the Canadian and United States educational markets, it was Commodore's first full-featured computer, and formed the basis for their entire 8-bit product line, including the Commodore 64.
 The first model, which was named the PET 2001, was the third personal computer ever made available to retail consumers, after the Apple II and TRS-80. Commodore MAX Machine
The Commodore MAX Machine, also known as Ultimax in the United States and VC-10 in Germany, was a home computer designed and sold by Commodore International in Japan, beginning in early 1982, a predecessor to the popular Commodore 64.
 The Commodore 64 manual mentions the machine by name, suggesting that Commodore intended to sell the machine internationally; however, it is unclear whether the machine was ever actually sold outside Japan.
 It is considered a rarity. Build-A-Bird
Build-A-Bird (1986 or earlier) was educational software for the Unisys ICON II public school computer.
 It may have appeared on the ICON I or Unisys ICON III. Hyperion (computer)
The Hyperion is an early portable computer that vied with the Compaq Portable to be the first portable IBM PC compatible.
 It was marketed by Infotech Cie of Ottawa, a subsidiary of Bytec Management Corp., who acquired the designer and manufacturer Dynalogic in January 1983.
 In 1984 the design was licensed by Commodore International in a move that was forecast as a "radical shift of position" and a signal that Commodore would soon dominate the PC compatible market.
 Despite computers being "hand-assembled from kits" provided by Bytec and displayed alongside the Commodore 900 at a German trade show as their forthcoming first portable computer, it was never sold by Commodore and some analysts downplayed the pact.
 The Hyperion was shipped in January 1983 at C$4995, two months ahead of the Compaq Portable. Commodore 1541
The Commodore 1541 (also known as the CBM 1541 and VIC-1541) is a floppy disk drive which was made by Commodore International for the Commodore 64 (C64), Commodore's most popular home computer.
 The best-known floppy disk drive for the C64, the 1541 is a single-sided 170-kilobyte drive for 5¼" disks.
 The 1541 directly followed the Commodore 1540 (meant for the VIC-20). Northwest Fur Trader
Northwest Fur Trader was an educational software program for the Unisys ICON computer.
 It simulated a fur trading expedition in northern Canada.
 It was one of the most popular programs on the ICON, and often used as a demo during sales efforts.
 Unlike most contemporary resource allocation simulations, like Hamurabi or "The Oregon Trail", Northwest Fur Trader was primarily graphical, based on a map drawn using the built-in NAPLPS graphics system and the trackball for moving the icon representing the party's canoes.
 The player could stop at any point and then select from a number of commands, such as hunting for food, trapping for furs, etc. Commodore 2031
The Commodore 2031 and Commodore 4031 are single-unit 5¼" floppy disk drives for Commodore International computers.
 They use a similar steel case form to the Commodore 9060/9090 hard disk drives, and use the parallel IEEE-488 interface common to Commodore PET/CBM computers.
 Essentially, both models are a single-drive version of the Commodore 4040.