| # | Location | Dates | Comments |
| 1 | Provo, Utah, USA | August 12-15, 1989 | ILAS Inaugural Meeting |
| 2 | Lisbon, Portugal | August 3-7, 1992 | |
| 3 | Pensacola, Florida, USA | March 17-20, 1993 | The 1993 UWF/ILAS Conference on "Pure and Applied Linear Algebra: The New Generation" |
| 4 | Rotterdam, The Netherlands | August 15-19, 1994 | |
| 5 | Atlanta, Georgia, USA | August 16-19, 1995 | |
| 6 | Chemnitz, Germany | August 14-17, 1996 | |
| 7 | Madison, Wisconsin, USA | June 3-6, 1998 | The "Hans Schneider" Conference |
| 8 | Barcelona, Spain | July 19-22, 1999 | |
| 9 | Haifa, Israel | June 25-29, 2001 | International Linear Algebra Conference under the auspices of the Institute of Advanced Studies in Mathematics at the Technion and the International Linear Algebra Society |
| 10 | Auburn, Alabama, USA | June 10-13, 2002 | Challenges In Matrix Theory |
| 11 | Coimbra, Portugal | July 19-22, 2004 | Dedicated to Richard Brualdi in honor of his 65th birthday |
| 12 | Regina, Saskatchewan, Canada | June 26-29, 2005 | |
| 13 | Amsterdam, The Netherlands | July 18-21, 2006 | |
| 14 | Shanghai, China | July 16-20, 2007 | |
| 15 | Cancun, Mexico | June 16-20, 2008 | |
| 16 | Pisa, Italy | June 21-25, 2010 | |
| 17 | Braunschweig, Germany | August 22-26, 2011 | Pure and Applied Linear Algebra: The New Generation |