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dim(W) = 4. Answer the following. Tr x,3r² – 5} CW and linearly independent then < A Tr 7– 2r, 1 – 2r*} c W and linearly independent t Tr P and linearly independent then = W. Tr y independent in W is in P4.

dim(W) = 4. Answer the following. Tr x,3r² – 5} CW and linearly independent then < A Tr 7– 2r, 1 – 2r*} c W and linearly independent t Tr P and linearly independent then = W. Tr y independent in W is in P4.

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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10. W is a subspace of P, and dim(W) = 4. Answer the following. (a) W = P, True / False (b) If A = {r – 2, 2.r? – 7.x, 3r? – 5}CW and linearly independent then < A>= W. True / False (c) If B = {r – 2, x² – 2x, r – 2r?, a – 2r} CW and linearly independent then < B >= W. True / False (d) If C = {1,x, ², r²} C Pa and linearly independent then < C >= W. True / False (e) Any set that is linearly independent in W is in P4. linearly independent / linearly dependent
Transcribed Image Text:10. W is a subspace of P, and dim(W) = 4. Answer the following. (a) W = P, True / False (b) If A = {r – 2, 2.r? – 7.x, 3r? – 5}CW and linearly independent then < A>= W. True / False (c) If B = {r – 2, x² – 2x, r – 2r?, a – 2r} CW and linearly independent then < B >= W. True / False (d) If C = {1,x, ², r²} C Pa and linearly independent then < C >= W. True / False (e) Any set that is linearly independent in W is in P4. linearly independent / linearly dependent
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