the vectors ū = [−4 −3 −3], v= [3 -1 -4] and = pendent? Dose ey are linearly dependent, find scalars that are not all zero s w is true. If they are linearly independent, find the only sca tion below true. u+ Iv+
the vectors ū = [−4 −3 −3], v= [3 -1 -4] and = pendent? Dose ey are linearly dependent, find scalars that are not all zero s w is true. If they are linearly independent, find the only sca tion below true. u+ Iv+
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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Transcribed Image Text:Let u, v, w be three linearly independent vectors in R7. Determine a value of k,
k
=
dependent.
, so that the set S = {u- v, v -8w, w - ku} is linearly
![Are the vectors ū=[-4 -3 -3], v= [3 -1 -4] and w = [3 0 -3] linearly
independent?
Choose
If they are linearly dependent, find scalars that are not all zero such that the equation
below is true. If they are linearly independent, find the only scalars that will make the
equation below true.
0.
ū+
v+
iw=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4cb8b695-ab02-4ee2-94ee-3246bb4f875f%2F3bbe1649-3dcc-4bb1-9d0e-513d6965d156%2F7vmbp4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Are the vectors ū=[-4 -3 -3], v= [3 -1 -4] and w = [3 0 -3] linearly
independent?
Choose
If they are linearly dependent, find scalars that are not all zero such that the equation
below is true. If they are linearly independent, find the only scalars that will make the
equation below true.
0.
ū+
v+
iw=
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