Work Problem 2 -): Consider the vectors from R3 v, =| 2 V2 5 a) Create the augmented matrix which correspond to the equation X,Vq +X2V2+X3V3=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,, v, V3) is linearly dependent

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 66E
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Work Problem 2
*-): Consider the vectors from R3
v, =| 2
V2
b
a) Create the augmented matrix which correspond to the equation
X,Vq +X>V2+X3V3=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,, v, V3) is
linearly dependent
Transcribed Image Text:Work Problem 2 *-): Consider the vectors from R3 v, =| 2 V2 b a) Create the augmented matrix which correspond to the equation X,Vq +X>V2+X3V3=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,, v, V3) is linearly dependent
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