7. a) Are the vectors linearly independent or linearly dependent? (3,0,0), v2 = (1,2,0), and v3 = (2,-4,5). Given vectors v1 = b) Do the vectors form a basis for R3? Why or why not?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter1: Vectors
Section1.1: The Geometry And Algebra Of Vectors
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7.
Given vectors v1
(3,0,0), v2 = (1,2,0), and v3 = (2, –4,5).
a) Are the vectors linearly independent or linearly dependent?
b) Do the vectors form a basis for R3? Why or why not?
Transcribed Image Text:7. Given vectors v1 (3,0,0), v2 = (1,2,0), and v3 = (2, –4,5). a) Are the vectors linearly independent or linearly dependent? b) Do the vectors form a basis for R3? Why or why not?
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