Wolfram Function Repository
Instant-use add-on functions for the Wolfram Language
Function Repository Resource:
Return a basis for the subspace spanned by the columns of a matrix
ResourceFunction["ColumnSpaceBasis"][mat] returns a basis for the column space of mat. |
Define a matrix:
In[1]:= | ![]() |
Out[1]= | ![]() |
The first and third columns of the matrix are pivot columns:
In[2]:= | ![]() |
Out[2]= | ![]() |
Therefore, the first and third columns of the matrix form a basis for the column space:
In[3]:= | ![]() |
Out[3]= | ![]() |
Define a complex matrix:
In[4]:= | ![]() |
Out[4]= | ![]() |
The first three columns are all pivot columns:
In[5]:= | ![]() |
Out[5]= | ![]() |
Therefore, the first three columns of the matrix form a basis for its column space:
In[6]:= | ![]() |
Out[6]= | ![]() |
This work is licensed under a Creative Commons Attribution 4.0 International License