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Exercises display sets in ?2. Assume the sets include the
Chapter 2, Problem 3E(choose chapter or problem)
QUESTION:
Problem 3E
Exercises display sets in ℝ2. Assume the sets include the bounding lines. In each case, give a specific reason why the set H is not a subspace of ℝ2. (For instance, find two vectors in H whose sum is not in H, or find a vector in H with a scalar multiple that is not in H. Draw a picture.)
Questions & Answers
QUESTION:
Problem 3E
Exercises display sets in ℝ2. Assume the sets include the bounding lines. In each case, give a specific reason why the set H is not a subspace of ℝ2. (For instance, find two vectors in H whose sum is not in H, or find a vector in H with a scalar multiple that is not in H. Draw a picture.)
ANSWER:
Solution 3E