Given the vector from P, p(t) = 2t-2t-3. Find the system you need to form to determine whether the given vector belongs to span {t?+2t+1, t²+3, t- 1}. a,b and c are some real numbers. Select one: a+b =2 2a+3b+c=2 , where a,b,c ER a+3b -c= 3 a+b 2 2a+b+c=2, where a,b,c E R a+3b -c=3 a+b=2 2a+3b+c= -2 , where a,b,c ER a+3b - c= -3 a+b+c=2

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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Given the vector from P,
p(t) = 2t-2t-3.
Find the system you need to form to determine
whether the given vector belongs to span
{P+2t+1, P+3, t- 1}.
a,b and c are some real numbers.
Select one:
a+b=2
2a+3b+c=2 , where a,b,c E R
a+3b-c=3
a+b=2
2a+b+c=2, where a,b,c ER
a+3b -c= 3
a+b=2
2a+3b+c= -2 , where a,b,cER
a+3b -c= -3
a+b+c=2
2a+3b+c=2 , where a,b,c ER
a+3b -c= 3
O None of those
Transcribed Image Text:Given the vector from P, p(t) = 2t-2t-3. Find the system you need to form to determine whether the given vector belongs to span {P+2t+1, P+3, t- 1}. a,b and c are some real numbers. Select one: a+b=2 2a+3b+c=2 , where a,b,c E R a+3b-c=3 a+b=2 2a+b+c=2, where a,b,c ER a+3b -c= 3 a+b=2 2a+3b+c= -2 , where a,b,cER a+3b -c= -3 a+b+c=2 2a+3b+c=2 , where a,b,c ER a+3b -c= 3 O None of those
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