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Exercise 11

Avg difficulty 3.0

Show that this is a basis for R4\mathbb{R}^{4}.

⟨(1000),(1100),(1110),(1111)⟩\langle\begin{pmatrix}1\\ 0\\ 0\\ 0\end{pmatrix},\begin{pmatrix}1\\ 1\\ 0\\ 0\end{pmatrix},\begin{pmatrix}1\\ 1\\ 1\\ 0\end{pmatrix},\begin{pmatrix}1\\ 1\\ 1\\ 1\end{pmatrix}\rangle

(We can use the results of this subsection to simplify this job.)

Hefferon, Linear Algebra, Vector Spaces, Dimension, Exercise 11

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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.