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{..} Determine if W₁ is a basis for R³ and check the correct answer(s) below. A. W₁ is not a basis because it is linearly dependent. OB. W₁ is not a basis because it does not span R³. OC. W₁ Is a basis. Let W₁ be the set: {···} Determine if W₂ is a basis for R³ and check the correct answer(s) below. DA. 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. C. W₂ Is a basis. Note: You can earn partial credit on this problem.

{..} Determine if W₁ is a basis for R³ and check the correct answer(s) below. A. W₁ is not a basis because it is linearly dependent. OB. W₁ is not a basis because it does not span R³. OC. W₁ Is a basis. Let W₁ be the set: {···} Determine if W₂ is a basis for R³ and check the correct answer(s) below. DA. 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. C. W₂ Is a basis. Note: You can earn partial credit on this problem.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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{··} Determine if W₁ is a basis for R³ and check the correct answer(s) below. A. W₁ is not a basis because it is linearly dependent. OB. W₁ is not a basis because it does not span R³. OC. W₁ Is a basis. Let W₁ be the set: {···} Determine if W₂ is a basis for R³ and check the correct answer(s) below. DA. W₂ is not a basis because it does not span R³. OB. W₂ is not a basis because it is linearly dependent. Let W₂ be the set: C. W₂ Is a basis. Note: You can earn partial credit on this problem.
Transcribed Image Text:{··} Determine if W₁ is a basis for R³ and check the correct answer(s) below. A. W₁ is not a basis because it is linearly dependent. OB. W₁ is not a basis because it does not span R³. OC. W₁ Is a basis. Let W₁ be the set: {···} Determine if W₂ is a basis for R³ and check the correct answer(s) below. DA. W₂ is not a basis because it does not span R³. OB. W₂ is not a basis because it is linearly dependent. Let W₂ be the set: C. W₂ Is a basis. Note: You can earn partial credit on this problem.
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