"Shutting up like a telescope": Lewis Carroll's "Curious Condensation Method for Evaluating Determinants"

Authors: Rice, Adrian; Torrence, Eve

Source: The College Mathematics Journal, Volume 38, Number 2, March 2007 , pp. 85-95(11)

Publisher: Mathematical Association of America

Abstract:

Charles Dodgson (Lewis Carroll) discovered a "curious" method for computing determinants. It is an iterative process that uses determinants of 2 × 2 submatrices of a matrix to obtain a smaller matrix. When the process ends, the result is the determinant of the original matrix. This article discusses both the algorithm and what may have led Dodgson to it.

Document Type: Research article

Links for this article

http://www.ingentaconnect.com/maa/cmj/2007/00000038/00000002/art00003
http://openurl.ingenta.com/content?genre=article&issn=0746-8342&volume=38&issue=2&spage=85&epage=95