= Minor
{disambiguate=linear algebra}
{title2=$\det A_{I,J}$}
{wiki}
= Minor of a matrix
{synonym}
= Matrix minor
{synonym}
A matrix minor is the <determinant> of a square <submatrix> obtained by selecting rows and columns of a <matrix>. Over a <field>, the <matrix rank> is less than $r$ exactly when every $r$-by-$r$ <matrix minor> vanishes. In a <matrix> of <regular functions>, these equations define a closed rank-defect locus, explaining the <determinantal variety> construction.
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