# [plt-scheme] Matrix Determinants

Henk Boom wrote:
>* Can anyone come up with a simple matrix determinant implementation?
*>* (other than the obvious O(n!) one of course)
*
Geoff wrote:
> On Mar 28, 2008, at 07:04, Alex Shinn wrote:
>> There's a Scheme implementation of determinant in the
>> gauche.array library which uses Gaussian elimination and if
>> I recall is much faster than SLIB's.
> Time to look at Gauche again, thanks for the tip!
If you are interested in Scheme code for Gaussian elimination,
then don't cheat yourself from a looking at Noel Welsh's code
in Schematics. Due to "matrix friendly" macros it is quite
pretty.
http://schematics.cvs.sourceforge.net/schematics/schemathics/matrix.ss?revision=1.3&view=markup
After studying Noel's code a while it dawned on my, that I used and
extended precisely that code in my old experiment "Math Repl".
The file matrix.ss was extended slightly with some general
linear algebra operations (as opposed to focusing on equation
solving). In matrix.ss the vector-of-vector representation is
used.
In linear-algebra.scm the list-of-lists representation is used
(due to the way the math repl worked).
> (require "linear-algebra.scm")
> (det '((1 2)
(3 4)))
-2
Relevant files are attached.
--
Jens Axel Søgaard
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