Work Problem 2 ( ): Consider the vectors from R³ 1 2 V2 a V3 = 4 %3D 3 a) Create the augmented matrix which correspond to the equation Xq Vq+ XqVz+ XgVg =0 b) By using the REF form of the matrix created in part a, determine the conditions on the scalars a, b ER so that the set S ={v1, V2.V3} is linearly dependent %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Work Problem 2(
): Consider the
vectors from R3
()
1
v, =| 2
V3 = | 4
V2
a
3
a) Create the augmented matrix which
correspond to the equation
XqVq+ XqVz+ X3V 3 = 0
b) By using the REF form of the matrix created
in part a, determine the conditions on the
scalars a, b ER so that the set S={v,, v2 V3}
is linearly dependent
Transcribed Image Text:Work Problem 2( ): Consider the vectors from R3 () 1 v, =| 2 V3 = | 4 V2 a 3 a) Create the augmented matrix which correspond to the equation XqVq+ XqVz+ X3V 3 = 0 b) By using the REF form of the matrix created in part a, determine the conditions on the scalars a, b ER so that the set S={v,, v2 V3} is linearly dependent
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