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.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 22EQ
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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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