Let v₁ = 3 1 E- 0 = ? linearly independent or linearly dependent. 3 -4 v₁+ve+vs+v₁ = 0. V2+ V3+ -1 V3 = -9 5 [B] -6 -7 and v4= 1. Determine whether or not the four vectors listed above are If they are linearly dependent, determine a non-trivial linear relation - (a non-trivial relation is three numbers which are not all three zero.) Otherwise, if the vectors are linearly independent, enter O's for the coefficients, since that relationship always holds. -3 1 [B] --3 -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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Linear algebra
-3
3
-|-|-|-|
-4
-1
Let v₁ =
3
1
0
1+
4
V2=
?
linearly independent or linearly dependent.
-9
Ov₁+ve+vs+v₁=0.
V2+
V3+
5
-6
-7
,and v4=
V 1. Determine whether or not the four vectors listed above are
If they are linearly dependent, determine a non-trivial linear relation - (a non-trivial relation is three
numbers which are not all three zero.) Otherwise, if the vectors are linearly independent, enter O's
for the coefficients, since that relationship always holds.
-3
1
-2
Transcribed Image Text:-3 3 -|-|-|-| -4 -1 Let v₁ = 3 1 0 1+ 4 V2= ? linearly independent or linearly dependent. -9 Ov₁+ve+vs+v₁=0. V2+ V3+ 5 -6 -7 ,and v4= V 1. Determine whether or not the four vectors listed above are If they are linearly dependent, determine a non-trivial linear relation - (a non-trivial relation is three numbers which are not all three zero.) Otherwise, if the vectors are linearly independent, enter O's for the coefficients, since that relationship always holds. -3 1 -2
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