{8-8-8-8) Determine if W₁ is a basis for R³ and check the correct answer(s) below. DA. W, is not a basis because it does not span R³ OB. W₁ is not a basis because it is linearly dependent. Let W₁ be the set: OC. W₁ is a basis. {8-8} Determine if W₂ is a basis for R³ and check the correct answer(s) below. OA. W₂ is a basis. Let W₂ be the set: B. W, is not a basis because it does not span R³. OC. W₂ is not a basis because it is linearly dependent.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.1: Orthogonality In Rn
Problem 7EQ
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(888)
Determine if W₁ is a basis for R³ and check the correct answer(s) below.
DA. W, is not a basis because it does not span R³.
OB. W₁ is not a basis because it is linearly dependent.
Let W₁ be the set:
OC. W₁ is a basis.
(8-8)
Determine if W₂ is a basis for R³ and check the correct answer(s) below.
OA. W₂ is a basis.
Let W₂ be the set:
OB. W₂ is not a basis because it does not span R³.
OC. W₂ is not a basis because it is linearly dependent.
Transcribed Image Text:(888) Determine if W₁ is a basis for R³ and check the correct answer(s) below. DA. W, is not a basis because it does not span R³. OB. W₁ is not a basis because it is linearly dependent. Let W₁ be the set: OC. W₁ is a basis. (8-8) Determine if W₂ is a basis for R³ and check the correct answer(s) below. OA. W₂ is a basis. Let W₂ be the set: OB. W₂ is not a basis because it does not span R³. OC. W₂ is not a basis because it is linearly dependent.
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