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Suppose that S, and S2 are nonzero subspaces, with S1 contained inside S2, and suppose that dim(S2) = 3. (a) What are the possible dimensions of S?? (b) If S, + S, then what are the possible dimensions of S1? ?

Suppose that S, and S2 are nonzero subspaces, with S1 contained inside S2, and suppose that dim(S2) = 3. (a) What are the possible dimensions of S?? (b) If S, + S, then what are the possible dimensions of S1? ?

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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8. Suppose that Sı and S2 are nonzero subspaces, with S contained inside S2, and suppose that dim(S2) = 3. (a) What are the possible dimensions of S1? ? (b) If Si + S, then what are the possible dimensions of Sq? ? %3D
Transcribed Image Text:8. Suppose that Sı and S2 are nonzero subspaces, with S contained inside S2, and suppose that dim(S2) = 3. (a) What are the possible dimensions of S1? ? (b) If Si + S, then what are the possible dimensions of Sq? ? %3D
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