Important: The linalg package has been deprecated. Use the superseding command LinearAlgebra[SumBasis], instead.

- For information on migrating linalg code to the new packages, see examples/LinearAlgebraMigration.

A basis for the sum of the vector spaces spanned by the vectors in Si is returned.

A basis for the zero-dimensional space is an empty set or list.

The command with(linalg,sumbasis) allows the use of the abbreviated form of this command.

$\mathrm{with}\left(\mathrm{linalg}\right)\:$

$\mathrm{v1}≔\mathrm{vector}\left(\left[1\,0\,1\,0\right]\right)$

$\mathrm{v1}≔\left[\begin{array}{cccc}1& 0& 1& 0\end{array}\right]$

$\mathrm{v2}≔\mathrm{vector}\left(\left[0\,1\,0\,1\right]\right)$

$\mathrm{v2}≔\left[\begin{array}{cccc}0& 1& 0& 1\end{array}\right]$

$\mathrm{v3}≔\mathrm{vector}\left(\left[1\,2\,1\,1\right]\right)$

$\mathrm{v3}≔\left[\begin{array}{cccc}1& 2& 1& 1\end{array}\right]$

$\mathrm{v4}≔\mathrm{vector}\left(\left[-1\,-2\,1\,0\right]\right)$

$\mathrm{v4}≔\left[\begin{array}{cccc}\mathrm{-1}& \mathrm{-2}& 1& 0\end{array}\right]$

$\mathrm{sumbasis}\left(\left\{\mathrm{v1}\,\mathrm{v2}\right\}\,\left\{\mathrm{v3}\,\mathrm{v4}\right\}\right)$

$\left\{\mathrm{v1}\,\mathrm{v2}\,\mathrm{v3}\,\mathrm{v4}\right\}$

$\mathrm{sumbasis}\left(\left\{\mathrm{v1}\,\mathrm{v2}\,\mathrm{v3}\right\}\,\left\{\mathrm{v3}\,\mathrm{v4}\right\}\,\left\{\mathrm{v2}\,\mathrm{v3}\right\}\right)$

$\left\{\mathrm{v1}\,\mathrm{v2}\,\mathrm{v3}\,\mathrm{v4}\right\}$