Work Problem 1 a) Given the vectors in R3 v, = (11 -3), v,= ( 1 -3 1), v3=(-3 1 1) Using the system of linear equations determine whether the given vectors are linearly independent. b) Determine whether given vectors P,(t) = 21-t, p2(t) =²-3, p,(t)= t in P2 are linearly independent.
Work Problem 1 a) Given the vectors in R3 v, = (11 -3), v,= ( 1 -3 1), v3=(-3 1 1) Using the system of linear equations determine whether the given vectors are linearly independent. b) Determine whether given vectors P,(t) = 21-t, p2(t) =²-3, p,(t)= t in P2 are linearly independent.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 72E: Find a system of two equations in three variables, x1, x2 and x3 that has the solution set given by...
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![Work Problem 1
a) Given the vectors in R3
v, = (11 -3), v,= ( 1 -3 1), v3=(-3 1 1)
Using the system of linear equations determine
whether the given vectors are linearly
independent.
b) Determine whether given vectors
P,(t) = 21-t, p2(t) =-3, p3(t)= t in P2 are
%3!
linearly independent.
Work Problem 3 (
a) Consider the set S= {+1, t+t, t+ 1}.
Detrmine whether p(t) = 3t-5t+3 belongs to
span S.
b) Determine whether {t + 1, -t, t+1} is a
spanning set.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F60b0f9e3-61d3-44b4-84c5-10b4ac7e1b6f%2Fc525bcc2-db50-444b-84eb-f27656b7c9d5%2Fy8le1w_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Work Problem 1
a) Given the vectors in R3
v, = (11 -3), v,= ( 1 -3 1), v3=(-3 1 1)
Using the system of linear equations determine
whether the given vectors are linearly
independent.
b) Determine whether given vectors
P,(t) = 21-t, p2(t) =-3, p3(t)= t in P2 are
%3!
linearly independent.
Work Problem 3 (
a) Consider the set S= {+1, t+t, t+ 1}.
Detrmine whether p(t) = 3t-5t+3 belongs to
span S.
b) Determine whether {t + 1, -t, t+1} is a
spanning set.
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