a) Given the vectors in R3 v, =(11 -3), vz = (1 -3 1), v,=(-3 11) Using the system of linear equations determine whether the given vectors are linearly independent. b) Determine whether given vectors p,(t)= 2 -t, p2(t) =P-3, p3(t)= t in P2 are linearly independent.

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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a) Given the vectors in R3
v, =(11 -3), vz = (1 -3 1), v,=(-3 11)
Using the system of linear equations determine
whether the given vectors are linearly
independent.
b) Determine whether given vectors
P,(t)= 21-t, p2t) =-3, p3(t)= t in P, are
linearly independent.
Transcribed Image Text:a) Given the vectors in R3 v, =(11 -3), vz = (1 -3 1), v,=(-3 11) Using the system of linear equations determine whether the given vectors are linearly independent. b) Determine whether given vectors P,(t)= 21-t, p2t) =-3, p3(t)= t in P, are linearly independent.
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