The Given Set Is a Basis for a Subspace W $x _ { 1 } = \left[ \begin{array} { r } 6 \\ - 3 \\ 0 \end{array} \right] , x _ { 2 } = \left[ \begin{array} { r } 6 \\ - 18 \\ 3 \end{array} \right]$

question 18

Multiple Choice

The given set is a basis for a subspace W. Use the Gram-Schmidt process to produce an orthogonal basis for W.
-Let $x _ { 1 } = \left[ \begin{array} { r } 6 \\ - 3 \\ 0 \end{array} \right] , x _ { 2 } = \left[ \begin{array} { r } 6 \\ - 18 \\ 3 \end{array} \right]$

• A)
• \(\left[ \begin{array} { r } 6 \\ - 3 \\ 0 \end{array} \right] , \left[ \begin{array} { r } 18 \\ - 24 \\ 3 \end{array} \right]\)
• B)
• \(\left[ \begin{array} { r } 6 \\ - 3 \\ 0 \end{array} \right] , \left[ \begin{array} { r } - 6 \\ - 18 \\ - 3 \end{array} \right]\)
• C)
• \(\left[ \begin{array} { r } - 9 \\ - 3 \\ 0 \end{array} \right] , \left[ \begin{array} { r } 6 \\ - 18 \\ 3 \end{array} \right]\)
• D)
• \(\left[ \begin{array} { r } 6 \\ - 3 \\ 0 \end{array} \right] , \left[ \begin{array} { r } - 6 \\ - 12 \\ 3 \end{array} \right]\)

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