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(a) {(1, 1, 0), (1,0,0), (0, 1, 0)}. (b) {(1,-1, 0), (1, 1, 1)}. (c) {(1,-1,0), (0, 0, 1)}. (d) {(-1, 1, 1), (1, -1, 0), (0, 0, 2)}. (e) {(-1, 1, 1), (1, 0, -1), (0, 1, 0)}.

(a) {(1, 1, 0), (1,0,0), (0, 1, 0)}. (b) {(1,-1, 0), (1, 1, 1)}. (c) {(1,-1,0), (0, 0, 1)}. (d) {(-1, 1, 1), (1, -1, 0), (0, 0, 2)}. (e) {(-1, 1, 1), (1, 0, -1), (0, 1, 0)}.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 26E
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Which of the following sets is a spanning set, but not a basis for the space V={(a,b,c) ∈ R^3 | a+b=0}?

 

(a) {(1, 1, 0), (1,0,0), (0, 1, 0)}. (b) {(1,-1, 0), (1, 1, 1)}. (c) {(1,-1,0), (0, 0, 1)}. (d) {(-1, 1, 1), (1, -1, 0), (0, 0, 2)}. (e) {(-1, 1, 1), (1, 0, -1), (0, 1, 0)}.
Transcribed Image Text:(a) {(1, 1, 0), (1,0,0), (0, 1, 0)}. (b) {(1,-1, 0), (1, 1, 1)}. (c) {(1,-1,0), (0, 0, 1)}. (d) {(-1, 1, 1), (1, -1, 0), (0, 0, 2)}. (e) {(-1, 1, 1), (1, 0, -1), (0, 1, 0)}.
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