Function Repository Resource:

# RowSpace

Compute properties of the row space of a matrix

Contributed by: Wolfram|Alpha Math Team
 ResourceFunction["RowSpace"][mat,prop] returns the row space property prop of the matrix mat. ResourceFunction["RowSpace"][mat] returns an association of row space properties of mat.

## Details and Options

The allowed values for prop in ResourceFunction["RowSpace"] are "Region", "Basis", "OrthonormalBasis", "Dimension" and All (default).
The basis and orthonormal basis returned by ResourceFunction["RowSpace"] are non-unique; other choices of basis are possible.

## Examples

### Basic Examples

Find an orthonormal basis of the row space of a matrix:

 In[1]:=
 Out[1]=

Find another basis of the row space of a matrix:

 In[2]:=
 Out[2]=

Find the dimension of the row space of a matrix:

 In[3]:=
 Out[3]=

Get a ParametricRegion representation of the row space of a matrix:

 In[4]:=
 Out[4]=

Get all properties of the row space of a matrix:

 In[5]:=
 Out[5]=

### Scope

The input matrix to RowSpace need not be square:

 In[6]:=
 In[7]:=
 Out[7]=
 In[8]:=
 Out[8]=