Matrix Manipulation

ApplyOverMatrix (a,func)

Apply a function over all entries of a matrix and return a matrix of the results

ApplyOverMatrix2 (a,b,func)

Apply a function over all entries of 2 matrices (or 1 value and 1 matrix) and return a matrix of the results

ColumnsOf (M)

Gets the columns of a matrix as a horizontal vector

ComplementSubmatrix (m,r,c)

Remove column(s) and row(s) from a matrix

CompoundMatrix (k,A)

Calculate the kth compund matrix of A

DeleteColumn (M,col)

Delete a column of a matrix

DeleteRow (M,row)

Delete a row of a matrix

DiagonalOf (M)

Gets the diagonal entries of a matrix as a horizontal vector

DotProduct (u,v)

Aliases: InnerProduct

Get the dot product of two vectors

ExpandMatrix (M)

Expands a matrix just like we do on unquoted matrix input

I (n)

Aliases: eye

Return an identity matrix of a given size, that is n by n.

See Planetmath for more information.

IndexComplement (vec,msize)

Return the index complement of a vector of indexes

IsDiagonal (M)

Is a matrix diagonal

See Planetmath for more information.

IsLowerTriangular (M)

Is a matrix lower triangular

IsMatrixInteger (M)

Check if a matrix is an integer (non-complex) matrix

IsMatrixRational (M)

Check if a matrix is a rational (non-complex) matrix

IsMatrixReal (M)

Check if a matrix is a real (non-complex) matrix

IsMatrixSquare (M)

Is a matrix square

IsUpperTriangular (M)

Is a matrix upper triangular

IsValueOnly (M)

Check if a matrix is a matrix of numbers

IsVector (v)

Is argument a horizontal or a vertical vector

LowerTriangular (M)

Zero out entries above the diagonal

MakeDiagonal (v,arg...)

Aliases: diag

Make diagonal matrix from a vector

See Planetmath for more information.

MatrixProduct (a)

Calculate the product of all elements in a matrix

MatrixSum (a)

Calculate the sum of all elements in a matrix

MatrixSumSquares (a)

Calculate the sum of squares of all elements in a matrix

OuterProduct (u,v)

Get the outer product of two vectors

ReverseVector (v)

Reverse elements in a vector

RowSum (m)

Calculate sum of each row in a matrix

RowSumSquares (m)

Calculate sum of squares of each row in a matrix

RowsOf (M)

Gets the rows of a matrix as a vertical vector

SetMatrixSize (M,rows,columns)

Make new matrix of given size from old one

SortVector (v)

Sort vector elements

StripZeroColumns (M)

Removes any all-zero columns of M

StripZeroRows (M)

Removes any all-zero rows of M

Submatrix (m,r,c)

Return column(s) and row(s) from a matrix

SwapRows (m,row1,row2)

Swap two rows in a matrix

UpperTriangular (M)

Zero out entries below the diagonal

columns (M)

Get the number of columns of a matrix

elements (M)

Get the number of elements of a matrix

ones (rows,columns...)

Make an matrix of all ones (or a row vector)

rows (M)

Get the number of rows of a matrix

zeros (rows,columns...)

Make an matrix of all zeros (or a row vector)