Which of the following sets is not a vector subspace in the vector space R^3? (a) {(a, b, c) ER3 | 2a = 3c}.(b) {(a, b, c) ER3 | a = 0, b = 3c}.(c) {(a+b, ab, 2a + b) | a, b R}.(d) {(a, 2a, a) a € R}.(e) {(a, b, c) R³ |a-b+c=1}.

(a), (b) , (c), (d) are subspaces .

Answered: (a) {(a, b, c) ER³ | 2a = 3c}. (b) {(a,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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(a) {(a, b, c) ER³ | 2a = 3c}. (b) {(a, b, c) ER3 | a = 0, b = 3c}. (c) {(a+b, ab, 2a + b) | a, b R} (d) {(a, 2a, a) a € R}. (e) {(a, b, c) R3 |a-b+c=1}.