[Solution] Find the orthogonal complement W^bot of W and give a basis for it W=


Question: Find the orthogonal complement \({{W}^{\bot }}\) of W and give a basis for it

\[W=\left\{ \left[ \begin{matrix} x \\ y \\ z \\ \end{matrix} \right]:\,\,2x-y+3z=0 \right\}\]

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