Column Space
Description
We can use Sage to find the column space of a given matrix. The Sage cell below computes the column space of
(1)\begin{align} A = \begin{pmatrix} 2 & 3 & 5 \\ 7 & 11 & 13 \\ 17 & 19 & 23 \end{pmatrix} \end{align}
over the rational numbers, $\mathbb Q$.
Sage Cell
Code
A = matrix(QQ, [[ 2, 3, 5],
[ 7, 11, 13],
[17, 19, 23]])
A.column_space()Options
none
Tags
CC:
Primary Tags: Linear Algebra: Euclidean spaces
Secondary Tags: Euclidean spaces: Row, column, and null spaces
Related Cells
- Right and Left System Solving Finding solutions to the equations $A\mathbf{x} = \mathbf{b}$ and $\mathbf{x}A = \mathbf{b}$.
- The Kernel of a Matrix Finding the kernel (or null space) of a matrix.
- Linear Combinations of Vector Building Linear Combinations in Sage.
Attribute
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Author: Rob Beezer
Date: 02 Apr 2020 22:11
Submitted by: Zane Corbiere