For each of the following sets of vectors, determine whether it is linearly independent or linearly dependent. If it is dependent, give a non-trivial linear combination of the vectors yielding the zero vector. Give your combination as an expression using u, v, and w for the vector variables , 7, and . 3 W-2 3 1 -3 a) = -1 7= 3 2 -5 (, , } is linearly independent 2 4 0 b) = -2 V = 1 w=10 -2 -2 4 {u, , } is linearly dependent 0=0
For each of the following sets of vectors, determine whether it is linearly independent or linearly dependent. If it is dependent, give a non-trivial linear combination of the vectors yielding the zero vector. Give your combination as an expression using u, v, and w for the vector variables , 7, and . 3 W-2 3 1 -3 a) = -1 7= 3 2 -5 (, , } is linearly independent 2 4 0 b) = -2 V = 1 w=10 -2 -2 4 {u, , } is linearly dependent 0=0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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