Let S {r, u, d, x} be a set of vectors. = If x= 3r + 4u+d, determine whether or not S is linearly independent. Linearly Dependent If S is dependent, enter a non-trivial linear relation below. Otherwise, enter O's for the coefficients. d+ u+ 1. Determine whether or not the four vectors listed above are linearly independent or linearly dependent. x=0.

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 S = {r, u, d, x} be a set of vectors.
If x= 3r + 4u+d, determine whether or not S is linearly independent.
Linearly Dependent
1. Determine whether or not the four vectors listed above are linearly independent or linearly dependent.
If S is dependent, enter a non-trivial linear relation below. Otherwise, enter 0's for the coefficients.
u+ d+ x = 0.
Transcribed Image Text:Let S = {r, u, d, x} be a set of vectors. If x= 3r + 4u+d, determine whether or not S is linearly independent. Linearly Dependent 1. Determine whether or not the four vectors listed above are linearly independent or linearly dependent. If S is dependent, enter a non-trivial linear relation below. Otherwise, enter 0's for the coefficients. u+ d+ x = 0.
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