Let V be a four-dimensional vector space, and let S be a subset of V consisting of three vectors. Then S O None of these O Can span V O Must be linearly independent O Must be linearly dependent O Cannot span V Which of the following vectors are linearly independent? O None of these O (2,1,1), (1,3,2), (4,1,2), (5,2,-1) O (3,-1,2), (-1,2,7) O (2,2,-2), (2,3,1), (0,0,0) O (2,-2,3), (4,-4,6)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let V be a four-dimensional vector space, and let S be a subset of V consisting of
three vectors. Then S
O None of these
O Can span V
O Must be linearly independent
Must be linearly dependent
O Cannot span V
Which of the following vectors are linearly independent?
O None of these
O (2,1,1), (1,-3,2), (4,1,2), (5,2,-1)
O (3,-1,2), (-1,2,7)
O (2,2,-2), (2,3,1), (0,0,0)
O (2-2,3), (4,-4,6)
Transcribed Image Text:Let V be a four-dimensional vector space, and let S be a subset of V consisting of three vectors. Then S O None of these O Can span V O Must be linearly independent Must be linearly dependent O Cannot span V Which of the following vectors are linearly independent? O None of these O (2,1,1), (1,-3,2), (4,1,2), (5,2,-1) O (3,-1,2), (-1,2,7) O (2,2,-2), (2,3,1), (0,0,0) O (2-2,3), (4,-4,6)
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