Let H Be the Hyperplane Through the Points $$\left[ \begin{array} { r } - 1 \\3\end{array} \right] , \left[ \begin{array} { r } 3 \\- 4\end{array} \right]$$

question 21

Multiple Choice

Let H be the hyperplane through the points. Find a linear functional f and a real number d such that H = [f : d].
- $$\left[ \begin{array} { r } - 1 \\3\end{array} \right] , \left[ \begin{array} { r } 3 \\- 4\end{array} \right]$$

• A) \(f \left( x _ { 1 } , x _ { 2 } \right) = - 7 x _ { 1 } + 4 x _ { 2 } , d = 19\)
• B) \(f \left( x _ { 1 } , x _ { 2 } \right) = 7 x _ { 1 } + 4 x _ { 2 } , d = 5\)
• C) \(f \left( x _ { 1 } , x _ { 2 } \right) = 3 x _ { 1 } - 4 x _ { 2 } , d = - 15\)
• D) \(f \left( x _ { 1 } , x _ { 2 } \right) = - x _ { 1 } + 3 x _ { 2 } , d = 10\)

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