Show Showing Linear Dependence that the set is linearly dependent by finding a nontriviai linear combination of vectors in the set whose sum is the zero vector. Then express one of the vectors in the set as a linear combination of the other vectors in the set. A. s = {(3, 4), (-1, 1), (2, 0)} b). s = {(1, 1, 1), (1, 1, 0), (0, 1, 1), (0, 0, 1)}

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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Linear algebra

Show
Showing Linear Dependence
that the set is linearly dependent by finding a nontriviai
linear combination of vectors in the set whose sum is the
3.
zero vector. Then express one of the vectors in the set as a
linear combination of the other vectors in the set.
S = {(3, 4), (–1, 1), (2, 0)}
b). s = {(1, 1, 1), (1, 1, 0), (0, 1, 1), (0, 0, 1)}
Transcribed Image Text:Show Showing Linear Dependence that the set is linearly dependent by finding a nontriviai linear combination of vectors in the set whose sum is the 3. zero vector. Then express one of the vectors in the set as a linear combination of the other vectors in the set. S = {(3, 4), (–1, 1), (2, 0)} b). s = {(1, 1, 1), (1, 1, 0), (0, 1, 1), (0, 0, 1)}
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