Column Space - Maple Programming Help

Column Space

 Description  Obtain a basis for the column space (image, or range) of a matrix. 

Enter a matrix.

 > $\left[\begin{array}{cccc}{3}& {2}& {-}{4}& {1}\\ {0}& {-}{1}& {1}& {6}\\ {5}& {7}& {2}& {-}{3}\end{array}\right]$
 $\left[\begin{array}{rrrr}{3}& {2}& {-}{4}& {1}\\ {0}& {-}{1}& {1}& {6}\\ {5}& {7}& {2}& {-}{3}\end{array}\right]$ (1)
 >

A basis for the column space:

 > $\mathrm{LinearAlgebra}\left[\mathrm{ColumnSpace}\right]\left(\right)$
 $\left[\left[\begin{array}{r}{1}\\ {0}\\ {0}\end{array}\right]{,}\left[\begin{array}{r}{0}\\ {1}\\ {0}\end{array}\right]{,}\left[\begin{array}{r}{0}\\ {0}\\ {1}\end{array}\right]\right]$ (2)
 >
 Commands Used LinearAlgebra[ColumnSpace]
 See Also LinearAlgebra, Matrix Palette