(See Solution) Exhibit a basis for the vector space W : W=
Question: Exhibit a basis for the vector space W :
\[W=\left\{ \,\left[ \begin{matrix} a-3b+c \\ 2b-11c \\ a-3b+9c \\ c+a-b \\ \end{matrix} \right]\in {{\mathbb{R}}^{4}}:\,\,a,b,c\in \mathbb{R} \right\}\]
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