Here's a question: let \(M\) be a \(0\times 0\) matrix with entries in the field \(\mathbb{F}\). What is \(\det(M)\)?

#Mathematics #Determinant #LinearAlgebra #Matrix

https://www.patreon.com/posts/rule-of-sarrus-129154966?utm_medium=clipboard_copy&utm_source=copyLink&utm_campaign=postshare_creator&utm_content=join_link

#mathematics #visualization #determinant

impossible

https://kbin.melroy.org/media/6b/b0/6bb06f22b113fc72388d256857923fdae00938579bf4b73f112493e476876d8a.png

Yeah o/ Mon premier article en anglais, co-écrit avec un collègue, est paru aujourd'hui dans le "Journal of French Language Studies" ! Je suis joie :) Ça parle de corpus, de déterminants, d'histoire du français et y'a, genre whatmille tableaux. Yeah :D

#Linguistics #Linguistique #Grammaire #Déterminant #LangueFrançaise

https://www.cambridge.org/core/journals/journal-of-french-language-studies/article/evolution-of-bare-nouns-in-the-history-of-french-the-view-from-calibrated-corpora/A809D923F7CD0854DBB9833DFAB4C428

Why is the determinant of the matrix \( \begin{pmatrix} a_1 & b_1 \\ a_2 & b_2 \end{pmatrix} \) equal to \( a_1 b_2 - a_2 b_1 \)?

I have found a geometrical interpretation (https://functor.network/user/414/entry/299) and with it also started a blog.

#WordsAndSomeFormulas #Mathematics #MathEdu #Determinant #Geometry

DETERMINANTS AND THE BAREISS ALGORITHM

If you have to calculate determinants, and especially if you have to program an algorithm, investigate the Bareiss algorithm. It's remarkably fast; it limits the divisions so that it doesn't introduce needless rounding errors; and if your matrix elements are all integers, Bareiss is guaranteed to give you an integer result.

I've worked out a way to do Bareiss on pen and paper; here's a link to a PDF showing the technique:

http://www.paprikash.com/lou/bareiss.pdf

#determinant #bareiss