toad.social

Alex NelsonHere's a question: let \(M\) be a \(0\times 0\) matrix with entries in the field \(\mathbb{F}\). What is \(\det(M)\)?<a href="https://mathstodon.xyz/tags/Mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mathematics</a> <a href="https://mathstodon.xyz/tags/Determinant" class="mention hashtag" rel="nofollow noopener" target="_blank">#Determinant</a> <a href="https://mathstodon.xyz/tags/LinearAlgebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#LinearAlgebra</a> <a href="https://mathstodon.xyz/tags/Matrix" class="mention hashtag" rel="nofollow noopener" target="_blank">#Matrix</a>

Giuseppe MichieliMurine <a href="https://mstdn.science/tags/betacoronavirus" class="mention hashtag" rel="nofollow noopener" target="_blank">#betacoronavirus</a> <a href="https://mstdn.science/tags/spike" class="mention hashtag" rel="nofollow noopener" target="_blank">#spike</a> protein: A major <a href="https://mstdn.science/tags/determinant" class="mention hashtag" rel="nofollow noopener" target="_blank">#determinant</a> of <a href="https://mstdn.science/tags/neuropathogenic" class="mention hashtag" rel="nofollow noopener" target="_blank">#neuropathogenic</a> properties, <a href="https://etidiohnew.blogspot.com/2025/03/murine-betacoronavirus-spike-protein.html" rel="nofollow noopener" translate="no" target="_blank">https://etidiohnew.blogspot.com/2025/03/murine-betacoronavirus-spike-protein.html</a>

ƧƿѦςɛ♏ѦਹѤʞWhat Numbers Do You Get by Iteratively Scaling a Matrix? <a href="https://www.youtube.com/watch?v=-uIwboK4nwE" rel="nofollow noopener" translate="no" target="_blank">https://www.youtube.com/watch?v=-uIwboK4nwE</a> <a href="https://mastodon.social/tags/maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#maths</a> <a href="https://mastodon.social/tags/mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#mathematics</a> <a href="https://mastodon.social/tags/Sinkhorn" class="mention hashtag" rel="nofollow noopener" target="_blank">#Sinkhorn</a> <a href="https://mastodon.social/tags/matrix" class="mention hashtag" rel="nofollow noopener" target="_blank">#matrix</a> <a href="https://mastodon.social/tags/determinant" class="mention hashtag" rel="nofollow noopener" target="_blank">#determinant</a> <a href="https://mastodon.social/tags/scaling" class="mention hashtag" rel="nofollow noopener" target="_blank">#scaling</a> <a href="https://mastodon.social/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#math</a>

Markus RedekerWhy 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 (<a href="https://functor.network/user/414/entry/299" rel="nofollow noopener" translate="no" target="_blank">https://functor.network/user/414/entry/299</a>) and with it also started a blog.<a href="https://mathstodon.xyz/tags/WordsAndSomeFormulas" class="mention hashtag" rel="nofollow noopener" target="_blank">#WordsAndSomeFormulas</a> <a href="https://mathstodon.xyz/tags/Mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mathematics</a> <a href="https://mathstodon.xyz/tags/MathEdu" class="mention hashtag" rel="nofollow noopener" target="_blank">#MathEdu</a> <a href="https://mathstodon.xyz/tags/Determinant" class="mention hashtag" rel="nofollow noopener" target="_blank">#Determinant</a> <a href="https://mathstodon.xyz/tags/Geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#Geometry</a>

King BeauregardDETERMINANTS AND THE BAREISS ALGORITHMIf 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:<a href="http://www.paprikash.com/lou/bareiss.pdf" rel="nofollow noopener" target="_blank">http://www.paprikash.com/lou/bareiss.pdf</a><a href="https://c.im/tags/determinant" class="mention hashtag" rel="nofollow noopener" target="_blank">#determinant</a> <a href="https://c.im/tags/bareiss" class="mention hashtag" rel="nofollow noopener" target="_blank">#bareiss</a>

pikuma.comJust to give you an example, let's look at how we used the value of a matrix <a href="https://mastodon.gamedev.place/tags/determinant" class="mention hashtag" rel="nofollow noopener" target="_blank">#determinant</a> in our recent Youtube video about "triangle rasterization":📽️ <a href="https://youtu.be/k5wtuKWmV48" rel="nofollow noopener" target="_blank">https://youtu.be/k5wtuKWmV48</a>The idea is that we must identify and only paint the pixels that are considered to be "inside" a 2D triangle on the screen...

pikuma.comLet me repeat that again!That denominator of this fraction is the "DETERMINANT" that *determines* if we might have a problem when solving our system.Therefore, it is a <a href="https://mastodon.gamedev.place/tags/determinant" class="mention hashtag" rel="nofollow noopener" target="_blank">#determinant</a> of that system.

Recent searches

Search options

Administered by:

Server stats:

#determinant