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Exercise 9

Avg difficulty 3.0

Give a basis for the span of each set, in the natural vector space.

  • {(113),(−120),(0126)}\{\hskip 1.00006pt\begin{pmatrix}1\\ 1\\ 3\end{pmatrix},\begin{pmatrix}-1\\ 2\\ 0\end{pmatrix},\begin{pmatrix}0\\ 12\\ 6\end{pmatrix}\hskip 1.00006pt\}

  • {x+x2,2−2x,7,4+3x+2x2}\{\hskip 1.00006ptx+x^{2},2-2x,7,4+3x+2x^{2}\hskip 1.00006pt\}

Hefferon, Linear Algebra, Vector Spaces, Vector Spaces and Linear Systems, Exercise 9

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Adapted from Linear Algebra © 2016 Jim Hefferon. Licensed under CC BY-SA 3.0 US. Source: Linear Algebra. Imported at revision df2262e.