Determine for what values of the following vectors are linearly independent and for what values of x they are linearly dependent: [1/2] X --·--· ----- V2 = 1/3 V4= 0 4 [1/4] 4x = e π 104 (1)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.1: Vector In R^n
Problem 28E
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Determine for what values of the following vectors are linearly independent and for what values of x
they are linearly dependent:
V1 =
0
"
V2
e
-[i].
104
1/2
V3 = 1/3
1/4
"
V4
=
[B]
0
4x
(1)
Transcribed Image Text:Determine for what values of the following vectors are linearly independent and for what values of x they are linearly dependent: V1 = 0 " V2 e -[i]. 104 1/2 V3 = 1/3 1/4 " V4 = [B] 0 4x (1)
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