Talk:Laplace expansion
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Potential shortcut
editMaybe nice to mention that especially with matrices with many 0-valued cells this technique makes it very easy to calculate the determinant? --83.180.9.80 (talk) 21:28, 25 January 2009 (UTC)
Laplace's Formula
editWhy does "Laplace's Formula" redirect to this page? I tried looking up the term in several sources and all seem to indicate that Laplace's formula is more connotated with Laplace's equation than the Laplace expansion mentioned here. As a physicist I have not heard of Laplace's 'formula' before, so I am curious as to common usages and what is deemed correct. --BBUCommander (talk) 00:36, 25 September 2009 (UTC)
Laplace expansion of a determinant by complementary minors
editThe cofactor expansion is a special case of a more generalised expansion rule (see page 10 of Harley Flanders' Differential Forms book). I came here looking for it before I recalled I had a good reference. If no one objects I'll try adding a section about this. — Preceding unsigned comment added by 110.175.0.201 (talk) 12:19, 31 January 2013 (UTC)
I added a simple example of how the complementary minor expansion works, unfortunately you need to be looking at at least the 4 by 4 case for it to be different from the usual cofactor expansion.
Proof
editThe proof is easier to understand if the reader consults https://en.wikipedia.org/wiki/Leibniz_formula_for_determinants first. Worth mentioning this in the first line? 2A01:CB0C:CD:D800:7C:5F6D:9721:937C (talk) 17:44, 1 November 2021 (UTC)