2. Suppose {v1, v2, v3, 4} is linearly independent. Using definitions, theorems, corollaries, and lemmas from section 3.4, argue whether the following sets form a basis for span{v1, v2, v3, 4}. Make sure to cite the particular theorem, etc., you used in your argument. (a) {v1, v2} (b) {v13, V2 + V4, V3, V4}

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 18EQ
Question
2. Suppose {v1, v2, v3, 4} is linearly independent. Using definitions, theorems, corollaries, and lemmas
from section 3.4, argue whether the following sets form a basis for span{v1, v2, v3, 4}. Make sure to
cite the particular theorem, etc., you used in your argument.
(a) {v1, v2}
(b) {v13, V2 + V4, V3, V4}
Transcribed Image Text:2. Suppose {v1, v2, v3, 4} is linearly independent. Using definitions, theorems, corollaries, and lemmas from section 3.4, argue whether the following sets form a basis for span{v1, v2, v3, 4}. Make sure to cite the particular theorem, etc., you used in your argument. (a) {v1, v2} (b) {v13, V2 + V4, V3, V4}
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