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1. Show that the set Y of nonnegative continuous functions is not a vector space. 2. Which of the…

1. Show that the set Y of nonnegative continuous functions is not a vector space. 2. Which of the…

1. Show that the set Y of nonnegative  continuous functions is not a vector space.2. Which of the following sets of vectors are independent? Find the dimension of the vector space spanned by each set.