Question 1 Let W be the set of all vectors of the form a) [α] b where -2a +6b-6c = 0 Lc -3 Determine whether the vector -7 -6 belongs to W, or not. - b) R³. Justify your answer. Determine whether W is a subspace of

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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Question 1
Let W be the set of all vectors of the form
a)
a
[3]
b where -2a +6b-6c = 0
-3
Determine whether the vector -7
-6
belongs to W, or not.
-
b)
R³. Justify your answer.
Determine whether W is a subspace of
Transcribed Image Text:Question 1 Let W be the set of all vectors of the form a) a [3] b where -2a +6b-6c = 0 -3 Determine whether the vector -7 -6 belongs to W, or not. - b) R³. Justify your answer. Determine whether W is a subspace of
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