be the set: ine if W₁ is a basis for R3 and check the correct answer(s) below. 1 is a basis. is not a basis because it does not span R³ is not a basis because it is linearly dependent. {@···} 1 W₂ is a basis for IR3 and check the correct answer(s) below. not a basis because it does not span R³. the set: not a basis because it is linearly dependent. basis.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 10CM
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Let W₁ be the set:
{}
3
Determine if W₁ is a basis for R³ and check the correct answer(s) below.
OA. W₁ is a basis.
OB. W₁ is not a basis because it does not span R³
Oc. W₁ is not a basis because it is linearly dependent.
{···}
Determine if W₂ is a basis for IR³ and check the correct answer(s) below.
A. W₂ is not a basis because it does not span R³
Let W₂ be the set:
OB. W₂ is not a basis because it is linearly dependent.
OC. W₂ is a basis.
Transcribed Image Text:Let W₁ be the set: {} 3 Determine if W₁ is a basis for R³ and check the correct answer(s) below. OA. W₁ is a basis. OB. W₁ is not a basis because it does not span R³ Oc. W₁ is not a basis because it is linearly dependent. {···} Determine if W₂ is a basis for IR³ and check the correct answer(s) below. A. W₂ is not a basis because it does not span R³ Let W₂ be the set: OB. W₂ is not a basis because it is linearly dependent. OC. W₂ is a basis.
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