Question: In Exercise 1 - 2, either use an appropriate theorem to show that the given set, W, is a vector space, or find specific example

In Exercise 1 - 2, either use an appropriate theorem to show that the given set, W, is a vector space, or find specific example to the contrary?
1.
b: a +b+c= 2 Lc.

2.

In Exercise 1 - 2, either use an appropriate theorem

b: a +b+c= 2 Lc.

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