4. Check that the following are vector spaces: (a) RN. 55 / 600 (b) CN. (c) C(N), where 2 is a subset of RN. (d) C*(RN). (e) C∞(RN).

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
Section4.2: Vector Spaces
Problem 43E: Prove that in a given vector space V, the zero vector is unique.
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4. Check that the following are vector spaces:
(a) RN.
55 / 600
(b) CN.
(c) C(N), where 2 is a subset of RN.
(d) C*(RN).
(e) C∞ (RN).
Transcribed Image Text:4. Check that the following are vector spaces: (a) RN. 55 / 600 (b) CN. (c) C(N), where 2 is a subset of RN. (d) C*(RN). (e) C∞ (RN).
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