[2.2] Which of the following collection of vectors form a basis of R³, span R³, or neither? a. a₁ = 2 a2 = a3 = 1 b. a₁ = a2 = 132 1 205

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.3: Orthonormal Bases:gram-schmidt Process
Problem 71E
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[2.2] Which of the following collection of vectors form a basis of R³, span R³,
or neither?
a.
a₁ = 2
a2 =
a3 =
1
b.
a₁ =
a2 =
132
1
205
Transcribed Image Text:[2.2] Which of the following collection of vectors form a basis of R³, span R³, or neither? a. a₁ = 2 a2 = a3 = 1 b. a₁ = a2 = 132 1 205
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