-1 --0----0 Let a₁ = 1 = -1 Is b a linear combination of a₁ and a2? 3 6 and 6 = Yes, b is a linear combination of a1 and a2. Ob is not a linaer combination of a₁ and 2. We cannot tell if b is a linear combination of a₁ and 2. Either fill in the coefficients of the vector equation, or enter "DNE" if no solution is possible. 6 = -.5 xa₁ + -2.5 x a₂ Check Answer

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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Question
Let a₁
=
3
04-6
=
Is
b a linear combination of a₁ and a₂?
"
-.5 x α₁ +
b
and
Yes, b is a linear combination of a₁ and ₂.
is not a linaer combination of a₁ and 2.
We cannot tell if b is a linear combination of a₁ and 2.
Check Answer
Either fill in the coefficients of the vector equation, or enter "DNE" if no solution is possible.
b
x α₂
-2.5
=
Transcribed Image Text:Let a₁ = 3 04-6 = Is b a linear combination of a₁ and a₂? " -.5 x α₁ + b and Yes, b is a linear combination of a₁ and ₂. is not a linaer combination of a₁ and 2. We cannot tell if b is a linear combination of a₁ and 2. Check Answer Either fill in the coefficients of the vector equation, or enter "DNE" if no solution is possible. b x α₂ -2.5 =
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