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a Let W be the set of vectors of the form A = b where a, b, c are real numbers such that 7b-4c + 5a = 0. C a) Write down one vector which is in W and one vector which is not in W. (Fully justify your answer.) b) Determine whether W is a subspace of R³ or not. (Fully justify your answer.)

a Let W be the set of vectors of the form A = b where a, b, c are real numbers such that 7b-4c + 5a = 0. C a) Write down one vector which is in W and one vector which is not in W. (Fully justify your answer.) b) Determine whether W is a subspace of R³ or not. (Fully justify your answer.)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Part c Let W be the set of vectors of the form A = -8 b C where a, b, c are real numbers such that 7b4c + 5a = 0. a) Write down one vector which is in W and one vector which is not in W. (Fully justify your answer.) 3 b) Determine whether W is a subspace of R³ or not. (Fully justify your answer.)
Transcribed Image Text:Part c Let W be the set of vectors of the form A = -8 b C where a, b, c are real numbers such that 7b4c + 5a = 0. a) Write down one vector which is in W and one vector which is not in W. (Fully justify your answer.) 3 b) Determine whether W is a subspace of R³ or not. (Fully justify your answer.)
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