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Minors

FilledSmallSquare Minors[m] gives the minors of a matrix m.

FilledSmallSquare Minors[m, k] gives minors.

FilledSmallSquare For an matrix the element of Minors[m] gives the determinant of the matrix obtained by deleting the row and the column of m.

FilledSmallSquare Map[Reverse, Minors[m], 0,1] makes the element correspond to deleting the row and column of m.

FilledSmallSquare Minors[m] is equivalent to Minors[m, n-1].

FilledSmallSquare Minors[m, k] gives the determinants of the submatrices obtained by picking each possible set of rows and columns from m.

FilledSmallSquare 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.

FilledSmallSquare For an matrix Minors[m, k] gives a matrix.

FilledSmallSquare Minors[m, k, f] applies the function f rather than Det to each of the submatrices picked out.

FilledSmallSquare See Section 3.7.7.

FilledSmallSquare See also: Det, Delete.

FilledSmallSquare New in Version 1; modified in 4.

Further Examples