I am looking for the exact name of a matrix where the i-th column and rows have been removed.
I cannot remember how it is called in linear algebra, does anyone got an idea? Thanks!
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$\begingroup$ Welcome to MathOverflow! MathOverflow is for mathematicians to ask each other questions about their research. See Mathematics to ask general questions in mathematics. $\endgroup$– GlorfindelCommented Aug 31, 2018 at 8:17
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$\begingroup$ I understand and I will post it on Mathematics! $\endgroup$– BayesianMonkCommented Aug 31, 2018 at 8:22
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$\begingroup$ I think we mathematicians need to coin a word for "all-but-one" but as an adjective. This is just a thing that comes up everywhere. $\endgroup$– darij grinbergCommented Aug 31, 2018 at 12:53
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$\begingroup$ I get the answer on Mathematics, the name that I was looking for was cofactor matrix $\endgroup$– BayesianMonkCommented Aug 31, 2018 at 13:45
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1$\begingroup$ @T.Boutelier No, usually the cofactor matrix is something else: it is a matrix whose entries are all minors (determinants) of a given matrix. See en.wikipedia.org/w/index.php?title=Cofactor_matrix for instance. $\endgroup$– Federico PoloniCommented Aug 31, 2018 at 17:51
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As far as I know it is only called a submatrix, but its determinant is known as minor.
answered Aug 31, 2018 at 8:16
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$\begingroup$ I am pretty sure that there exists a specific name for this but I cannot remember it! $\endgroup$ Commented Aug 31, 2018 at 8:22
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1$\begingroup$ Some authors call it a principal submatrix. $\endgroup$ Commented Aug 31, 2018 at 8:25