Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Question

Which of the listed subsets of the vector space R^3 is homogeneous but not additive?

(a) {(a1, a2, a3) E R³ | a1 + a2 = 0, a3 = 0}. (b) {(a1, a2, a3) ER³ | a2a3 = 0}. (c) {(a1, a2, a3) ER³ | a1 + a2 ≤ a3}. (d) {(a1, a2, a3) E R³ | a1 + a2+ a3 = 1}. (e) {(0,0,0)}.
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Transcribed Image Text:(a) {(a1, a2, a3) E R³ | a1 + a2 = 0, a3 = 0}. (b) {(a1, a2, a3) ER³ | a2a3 = 0}. (c) {(a1, a2, a3) ER³ | a1 + a2 ≤ a3}. (d) {(a1, a2, a3) E R³ | a1 + a2+ a3 = 1}. (e) {(0,0,0)}.
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