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Exercises display sets in 2. Assume the sets include the
Chapter 2, Problem 1E(choose chapter or problem)
Problem 1E
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 1E
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:-
Step1
Given that
Step2
To find
Assume the sets include the bounding lines. In each case, give a specific reason why the set H