(b) {(a, b) EV | a2+ b² = 1 (c) {(a, a) E Va≥ 0}. (d) {(a, b) EV ||a| = |b|}. (e) {(a,-a) EV | aЄR}.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 18E
Question

Which of the listed sets is a vector subspace of the space V=R^2 over the field R?

 

(b) {(a, b) EV | a2+ b² = 1
(c) {(a, a) E Va≥ 0}.
(d) {(a, b) EV ||a| = |b|}.
(e) {(a,-a) EV | aЄR}.
Transcribed Image Text:(b) {(a, b) EV | a2+ b² = 1 (c) {(a, a) E Va≥ 0}. (d) {(a, b) EV ||a| = |b|}. (e) {(a,-a) EV | aЄR}.
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