Singular Manual: matrix_lib

> | ### D.3.1 matrix_lib Library: matrix.lib Purpose: Elementary Matrix Operations Procedures:
> D.3.1.1 compress |  | matrix, zero columns from A deleted
> D.3.1.2 concat |  | matrix, concatenation of matrices A1,A2,...
> D.3.1.3 diag |  | matrix, nxn diagonal matrix with entries poly p
> D.3.1.4 dsum |  | matrix, direct sum of matrices A1,A2,...
> D.3.1.5 flatten |  | ideal, generated by entries of matrix A
> D.3.1.6 genericmat |  | generic nxm matrix [entries from id]
> D.3.1.7 is_complex |  | 1 if list c is a complex, 0 if not
> D.3.1.8 outer |  | matrix, outer product of matrices A and B
> D.3.1.9 power |  | matrix/intmat, n-th power of matrix/intmat A
> D.3.1.10 skewmat |  | generic skew-symmetric nxn matrix [entries from id]
> D.3.1.11 submat |  | submatrix of A with rows/cols specified by intvec r/c
> D.3.1.12 symmat |  | generic symmetric nxn matrix [entries from id]
> D.3.1.13 tensor |  | matrix, tensor product of matrices A nd B
> D.3.1.14 unitmat |  | unit square matrix of size n
> D.3.1.15 gauss_col |  | transform a matrix into col-reduced Gauss normal form
> D.3.1.16 gauss_row |  | transform a matrix into row-reduced Gauss normal form
> D.3.1.17 addcol |  | add p*(c1-th col) to c2-th column of matrix A, p poly
> D.3.1.18 addrow |  | add p*(r1-th row) to r2-th row of matrix A, p poly
> D.3.1.19 multcol |  | multiply c-th column of A with poly p
> D.3.1.20 multrow |  | multiply r-th row of A with poly p
> D.3.1.21 permcol |  | permute i-th and j-th columns
> D.3.1.22 permrow |  | permute i-th and j-th rows
> D.3.1.23 rowred |  | reduction of matrix A with elementary row-operations
> D.3.1.24 colred |  | reduction of matrix A with elementary col-operations
> D.3.1.25 linear_relations |  | find linear relations between homogeneous vectors
> D.3.1.26 rm_unitrow |  | remove unit rows and associated columns of A
> D.3.1.27 rm_unitcol |  | remove unit columns and associated rows of A
> D.3.1.28 headStand |  | A[n-i+1,m-j+1]:=A[i,j]
> D.3.1.29 symmetricBasis |  | basis of k-th symmetric power of n-dim v.space
> D.3.1.30 exteriorBasis |  | basis of k-th exterior power of n-dim v.space
> D.3.1.31 symmetricPower |  | k-th symmetric power of a module/matrix A
> D.3.1.32 exteriorPower |  | k-th exterior power of a module/matrix A

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