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Question 4.E.1.5: Sketch a picture in ℜ³ of the subspace spanned by each of th......

Sketch a picture in ℜ³ of the subspace spanned by each of the following.

(a)   \begin{Bmatrix}\begin{pmatrix}1\\3\\2\end{pmatrix},  \begin{pmatrix}2\\6\\4\end{pmatrix},  \begin{pmatrix}-3\\-9\\-6 \end{pmatrix}\end{Bmatrix},   (b)  \begin{Bmatrix}\begin{pmatrix} -4\\0\\0\end{pmatrix},  \begin{pmatrix}0\\5\\0\end{pmatrix},  \begin{pmatrix} 1\\1\\0\end{pmatrix}\end{Bmatrix},

(c)  \begin{Bmatrix}\begin{pmatrix}1\\0\\0\end{pmatrix},  \begin{pmatrix}1\\1\\0\end{pmatrix},  \begin{pmatrix}1\\1\\1\end{pmatrix}\end{Bmatrix}.

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(a) A line.      (b) The (x,y)-plane.      (c) ℜ³

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