Benedict Irwin edited Complex.tex  over 9 years ago

Commit id: af24f37ea57afc03ced6dd97def6aa933eb57935

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This is fondly reminiscent of the steps taken to invert a regular matrix under matrix multiplication, exept exchanges are of rows rather than on diagonal terms and two negatives in a different place. Also there will still exist $\#$ singular matrices when $ac=-bd$. This would make such a quantity the $#$ determinant of the matrix...  Interesting question, if a matrix is normally singular $ad-bc=0$, can it also be $\#$ singular, $ac+bd=0$? There can be if $a$ and $b$ are both $0$, or for certain combinations otherwise, some with complex entries...