|ConjugateTranspose[m]||conjugate transpose m (Hermitian conjugate)|
|Minors[m]||matrix of minors|
|MatrixRank[m]||rank of matrix|
Det[m] gives the determinant of a square matrix m. Minors[m] is the matrix whose element gives the determinant of the submatrix obtained by deleting the row and the column of m. The cofactor of m is times the element of the matrix of minors.
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. Note that you can apply Minors to rectangular, as well as square, matrices.
The trace or spur of a matrix Tr[m] is the sum of the terms on the leading diagonal.