# Basis Calculator

The calculator will find a basis of the space spanned by the set of given vectors, with steps shown.

Related calculators: Linear Independence Calculator, Matrix Rank Calculator

$\mathbf{\vec{v_{1}}}$ $\mathbf{\vec{v_{2}}}$ $\mathbf{\vec{v_{3}}}$

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Find a basis of the space spanned by the set of vectors $\left\{\left[\begin{array}{c}3\\1\\2\end{array}\right], \left[\begin{array}{c}-4\\6\\7\end{array}\right], \left[\begin{array}{c}2\\8\\9\end{array}\right]\right\}.$