16. Let $V=operatorname [span]left{left(begin{array}{1}1 0 1 0end{array} ight), left(begin{array} (1)1 1 ...

  

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16. Let $V=\operatorname [span]\left\{\left(\begin{array}{1}1 \\ 0 \\ 1 \\ 0\end{array} ight), \left(\begin{array} (1)1 \\ 1 \\ 0 \\ 1\end{array} ight), \left(\begin{array} {1}0 \\ 1 \\ 1 AV 1\end{array} ight) ight\}$. a. Find all vectors $v \in V^{\perp}$ with length 1 b. Use the Gram-Schmidt process to find an orthogonal basis for $V$. 16. Let $V=\operatorname [span]\left\{\left(\begin{array}{1}1 \\ 0 \\ 1 \\ 0\end{array} ight), \left(\begin{array} (1)1 \\ 1 \\ 0 \\ 1\end{array} ight), \left(\begin{array} {1}0 \\ 1 \\ 1 AV 1\end{array} ight) ight\}$. a. Find all vectors $v \in V^{\perp}$ with length 1 b. Use the Gram-Schmidt process to find an orthogonal basis for $V$.