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Math / Linear Algebra and Its Applications 5 / Chapter 8.4 / Problem 9E

Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay; Steven R. Lay; Judi J. McDonald

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Answer: In Exercises 7–10, let H be the hyperplane through

Chapter 8, Problem 9E

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QUESTION:

In Exercises 7–10, let H be the hyperplane through the listed points.

(a) Find a vector n that is normal to the hyperplane.

(b) Find a linear functional f and a real number d such that H = [f : d].

\(\left[\begin{array}{l}1 \\ 0 \\ 1 \\ 0\end{array}\right],\left[\begin{array}{l}2 \\ 3 \\ 1 \\ 0\end{array}\right],\left[\begin{array}{l}1 \\ 2 \\ 2 \\ 0\end{array}\right],\left[\begin{array}{l}1 \\ 1 \\ 1 \\ 1\end{array}\right]\)

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QUESTION:

In Exercises 7–10, let H be the hyperplane through the listed points.

(a) Find a vector n that is normal to the hyperplane.

(b) Find a linear functional f and a real number d such that H = [f : d].

\(\left[\begin{array}{l}1 \\ 0 \\ 1 \\ 0\end{array}\right],\left[\begin{array}{l}2 \\ 3 \\ 1 \\ 0\end{array}\right],\left[\begin{array}{l}1 \\ 2 \\ 2 \\ 0\end{array}\right],\left[\begin{array}{l}1 \\ 1 \\ 1 \\ 1\end{array}\right]\)

ANSWER:

Solution 9E1. the normal to the h

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