Either use an appropriate theorem to show that

Chapter 4, Problem 12E

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QUESTION:

In Exercises 7–14, either use an appropriate theorem to show that the given set, W , is a vector space, or find a specific example to the contrary.

\(\left\{\left[\begin{array}{c}b-5 d \\ 2 b \\ 2 d+1 \\ d\end{array}\right]: b, d \text { real }\right\}\)

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QUESTION:

In Exercises 7–14, either use an appropriate theorem to show that the given set, W , is a vector space, or find a specific example to the contrary.

\(\left\{\left[\begin{array}{c}b-5 d \\ 2 b \\ 2 d+1 \\ d\end{array}\right]: b, d \text { real }\right\}\)

ANSWER:

Solution 12E

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