2. Let (x, y, Z, w) be a linearly independent set of vectors in R. Which of the following sets of vector O x+y. y+z. 2+w, w+x) O x+y, y+z, z+x) O xy. y-z, z-w, w-x)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.CR: Review Exercises
Problem 78CR: Let v1, v2, and v3 be three linearly independent vectors in a vector space V. Is the set...
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2. Let (x, y, z, w} be a linearly independent set of vectors in Rn Which of the following sets of vectors are linearly independent ?
O {x+y, y+z, 2+w, w+x}
O {x+y, y+z, z+x}
O (x-y. y-z, z-w, w-x)
O (x+y+z, z+w+x, y+w)
Transcribed Image Text:2. Let (x, y, z, w} be a linearly independent set of vectors in Rn Which of the following sets of vectors are linearly independent ? O {x+y, y+z, 2+w, w+x} O {x+y, y+z, z+x} O (x-y. y-z, z-w, w-x) O (x+y+z, z+w+x, y+w)
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