Minors
Details

- For an
×
matrix the
element of Minors[m] gives the determinant of the matrix obtained by deleting the
row and the
column of m.
- Map[Reverse,Minors[m],{0,1}] makes the
element correspond to deleting the
row and
column of m.
- Minors[m] is equivalent to Minors[m,n-1].
- Minors[m,k] gives the determinants of the k×k submatrices obtained by picking each possible set of k rows and k columns from m.
- Each element in the result corresponds to taking rows and columns with particular lists of positions. The ordering of the elements is such that reading across or down the final matrix, the successive lists of positions appear in lexicographic order.
- For an
×
matrix Minors[m,k] gives an
×
matrix.
- Minors[m,k,f] applies the function f rather than Det to each of the submatrices picked out.
Introduced in 1988
Updated in 1999
(1.0)
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(4.0)