Talk:Block matrix

I have just added the majority of the current page content, so the previous discussions were outdated, since they referred to a considerably different page.Thiagovscoelho (talk) 15:33, 20 March 2024 (UTC)

:I believe that the statement "This is also true when $AB=BA$, $AC=CA$, or {{tmath|1=BD=DB}}." is false.

:If $AC=CA$, then Note the change in order of $C$ and $B$ (we have $CB$ instead of $BC$). Similarly, if $BD\; =\; DB$, then $AD$ should be replaced with $DA$ (i.e. we get $\backslash det(DA\; -\; BC)$) and if $AB\; =\; BA$, then we should have $\backslash det(DA\; -\; CB)$. Note for the last two results, you have to use commutativity of the underlying ring, but not for the first two.

:The Surgeon of Death (talk) 14:36, 12 May 2025 (UTC)

::I was definitely relying entirely on the sources cited for each of the properties mentioned. Since that sentence did not have a source cited inline next to it, I don't remember why I put that in, if I did, although it may be something I got confused about while reading the sources cited for the surrounding sentences. Thiagovscoelho (talk) 13:09, 9 June 2025 (UTC)