Solution Found!
In Exercises 7–14, either use an appropriate theorem to
Chapter 4, Problem 7E(choose chapter or problem)
QUESTION:
In Exercises, either use an appropriate theorem to show that the given set, W, is a vector space, or find a specific example to the contrary.
\(\left\{\left[\begin{array}{l}
a \\
b \\
c
\end{array}\right]: a+b+c=2\right\}\)
Questions & Answers
QUESTION:
In Exercises, either use an appropriate theorem to show that the given set, W, is a vector space, or find a specific example to the contrary.
\(\left\{\left[\begin{array}{l}
a \\
b \\
c
\end{array}\right]: a+b+c=2\right\}\)
Solution 7EStep 1 of 3Consider the following set: It is clear that the set is a subset of Result:If is a subset of and is a vector space, then should be a subspace of