Null Space of the Transpose - Maple Programming Help

Null Space of the Transpose

 Description  Obtain a basis for the null space of the transpose of a matrix. The null space of the transpose is the orthogonal complement of the column space. 

Enter a matrix.

 > $\left[\begin{array}{rrrr}{46}& {42}& {-}{17}& {53}\\ {32}& {21}& {-}{13}& {31}\\ {46}& {49}& {-}{16}& {58}\end{array}\right]$
 $\left[\begin{array}{rrrr}{46}& {42}& {-}{17}& {53}\\ {32}& {21}& {-}{13}& {31}\\ {46}& {49}& {-}{16}& {58}\end{array}\right]$ (1)
 >

A basis for the null space of the transpose:

 > $\mathrm{LinearAlgebra}\left[\mathrm{NullSpace}\right]\left({+}^{}\right)$
 $\left\{\left[\begin{array}{c}{-}\frac{{43}}{{27}}\\ \frac{{23}}{{27}}\\ {1}\end{array}\right]\right\}$ (2)
 Commands Used
 See Also LinearAlgebra, Matrix Palette