 Basis for a Set of Vectors - Maple Help

Home : Support : Online Help : Tasks : Linear Algebra : Vector Manipulations : Basis for a Set of Vectors Basis for a Set of Vectors Description Calculate a basis for the vector space spanned by a set of vectors.

Enter a set of vectors.

 > $\left\{{<}{2}{,}{-1}{,}{3}{,}{0}{>}{,}{<}{-2}{,}{1}{,}{2}{,}{1}{>}{,}{<}{1}{,}{-3}{,}{-3}{,}{-4}{>}{,}{<}{3}{,}{1}{,}{-1}{,}{2}{>}{,}{<}{2}{,}{-1}{,}{8}{,}{1}{>}\right\}$
 $\left\{\left[\begin{array}{r}{-}{2}\\ {1}\\ {2}\\ {1}\end{array}\right]{,}\left[\begin{array}{r}{1}\\ {-}{3}\\ {-}{3}\\ {-}{4}\end{array}\right]{,}\left[\begin{array}{r}{2}\\ {-}{1}\\ {3}\\ {0}\end{array}\right]{,}\left[\begin{array}{r}{2}\\ {-}{1}\\ {8}\\ {1}\end{array}\right]{,}\left[\begin{array}{r}{3}\\ {1}\\ {-}{1}\\ {2}\end{array}\right]\right\}$ (1)

Calculate a basis.

 > $\mathrm{LinearAlgebra}\left[\mathrm{Basis}\right]\left(\right)$
 $\left\{\left[\begin{array}{r}{-}{2}\\ {1}\\ {2}\\ {1}\end{array}\right]{,}\left[\begin{array}{r}{1}\\ {-}{3}\\ {-}{3}\\ {-}{4}\end{array}\right]{,}\left[\begin{array}{r}{2}\\ {-}{1}\\ {3}\\ {0}\end{array}\right]\right\}$ (2) Commands Used See Also