null - Maple Help

MTM

 null
 compute a basis for the null space of a matrix

 Calling Sequence null(A)

Parameters

 A - matrix, vector, array, or scalar

Description

 • The procedure null(A) computes a basis for the null space (kernel) of the linear transformation defined by the matrix A. The result is a matrix where each column represents a vector in the computed basis.
 • The basis vectors are not in any fixed order.  The same input in the same session can result in a matrix with columns in a different order than the previous execution.

Examples

 > $\mathrm{with}\left(\mathrm{MTM}\right):$
 > $A≔\mathrm{Matrix}\left(\left[\left[1,2,1\right],\left[2,4,2\right],\left[2,8,1\right]\right]\right)$
 ${A}{≔}\left[\begin{array}{ccc}{1}& {2}& {1}\\ {2}& {4}& {2}\\ {2}& {8}& {1}\end{array}\right]$ (1)
 > $\mathrm{null}\left(A\right)$
 $\left[\begin{array}{c}{-}\frac{{3}}{{2}}\\ \frac{{1}}{{4}}\\ {1}\end{array}\right]$ (2)