Consider the vectors in R 2 1 1 1 V1 13 V2 V3 4 VA 1 1 3 Express (if possible) v, as a linear combination of the rest. Select one: O v, = V2+2v3-3 v4 V, = -3v2+2v3- VĄ O None of those O vy = V2-2v3+3 v4 O v, = -V2+V3-3 v4

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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Its just mcqs so solve both
Consider the vectors in R
2
1
1
1
V1
13
V2
V3
4
VA
6
1
1
3
Express (if possible) v, as a linear combination of
the rest.
Select one:
O v, = V2+2v3-3 v4
V, = -3v2+2v3- VĄ
O None of those
O v, = V2-2v3+3 v4
O v, = -V2+V3-3 v4
Transcribed Image Text:Consider the vectors in R 2 1 1 1 V1 13 V2 V3 4 VA 6 1 1 3 Express (if possible) v, as a linear combination of the rest. Select one: O v, = V2+2v3-3 v4 V, = -3v2+2v3- VĄ O None of those O v, = V2-2v3+3 v4 O v, = -V2+V3-3 v4
Given the vector from P,
p(t)
2t? 3t 10.
Find the system you need to solve to determine
whether the given vector belongs to span
{t? 2t 1 3 t 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
O (a+b= -2
2a+3b+c=3
a+3b-c= - 10
None of those
a+b+c= -2
2a+3b+c= 2
a+3b -c= 10
Transcribed Image Text:Given the vector from P, p(t) 2t? 3t 10. Find the system you need to solve to determine whether the given vector belongs to span {t? 2t 1 3 t 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 O (a+b= -2 2a+3b+c=3 a+3b-c= - 10 None of those a+b+c= -2 2a+3b+c= 2 a+3b -c= 10
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