. Consider the following sets of vectors in R³. Explain how you know that vectors in each set are linearly dependent. Set A: {(2, 5, -1), (-1, -10, 2), (3, 9, 1), (1, 2, 0)} Set B: {(4, -1, 9), (5, 1, 13), (1, 2,4)}

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 21E
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12. Consider the following sets of vectors in R³. Explain how you know that
vectors in each set are linearly dependent.
Set A: {(2, 5, -1), (-1, -10, 2), (3, 9, 1), (1, 2, 0)}
Set B: {(4, -1, 9), (5, 1, 13), (1, 2,4)}
Transcribed Image Text:12. Consider the following sets of vectors in R³. Explain how you know that vectors in each set are linearly dependent. Set A: {(2, 5, -1), (-1, -10, 2), (3, 9, 1), (1, 2, 0)} Set B: {(4, -1, 9), (5, 1, 13), (1, 2,4)}
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