Is {(x, y) | x, y R} a vector space under these operations? (a) (x1, y1)

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Is {(x, y) | x, y ∈ R} a vector space under these operations?
(a) (x1, y1) + (x2, y2) = (x1 + x2, y1 + y2) and r ∙ (x, y) = (rx, y)
(b) (x1, y1) + (x2, y2) = (x1 + x2, y1 + y2) and r ∙ (x, y) = (rx, 0)

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 01:52 AM

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Is {(x, y) | x, y R} a vector space under these operations? (a) (x1, y1)

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a No 1 0 1 1 0 1 1 1 0 1 b No the same calculat...View the full answer

Linear Algebra

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