Given the vector from P2 p(t) 21? 3t 10. Find the system you need to solve to determine whether the given vector belongs to span {t? 2t 1 3t 1). Select one: a-b=-2 2a-b+c=3 a+3b-c= - 10 a+b=2 2a+3b -c=3 a+3b-c= 10 a+b= -2 2a+3b+c= 3 a+3b -c= -10

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 18EQ
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Solve both plz its just mcqs
Given the vector from P,
p(t)
2 3t 10.
Find the system you need to solve to determine
whether the given vector belongs to span
{t? 2t 1 P 3t 1).
Select one:
a-b=-2
2a-b+c=3
a+3b-c=- 10
a+b=2
2a+3b-c=3
a+3b-c=10
a+b= -2
2a+3b+c=3
a+3b-c= - 10
O None of those
a+b+c=-2
2a+3b+c=2
a+3b-c=10
Consider the vectors in R
V2
V3
Express (if possible) v, as a linear combination of
the rest.
Select one:
O v, =v,+2v3-3 v.
O v, = -3v,+2v3- V4
O None of those
O v, =v2-2v,+3 v4
O v,--V2+v3-3 v4
Transcribed Image Text:Given the vector from P, p(t) 2 3t 10. Find the system you need to solve to determine whether the given vector belongs to span {t? 2t 1 P 3t 1). Select one: a-b=-2 2a-b+c=3 a+3b-c=- 10 a+b=2 2a+3b-c=3 a+3b-c=10 a+b= -2 2a+3b+c=3 a+3b-c= - 10 O None of those a+b+c=-2 2a+3b+c=2 a+3b-c=10 Consider the vectors in R V2 V3 Express (if possible) v, as a linear combination of the rest. Select one: O v, =v,+2v3-3 v. O v, = -3v,+2v3- V4 O None of those O v, =v2-2v,+3 v4 O v,--V2+v3-3 v4
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