Let S1 = {(x,y)/ x2y-3), S2 = {(x,y)/ 0≤ x ≤3, 1≤ y ≤5) and S3 = {(x,y)/ 0

Elementary Linear Algebra (MindTap Course List)
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Chapter6: Linear Transformations
Section6.CR: Review Exercises
Problem 41CR: For T:P4R5, and rank (T)=3, find nullity (T).
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Let S1 = {(x,y)/ x2y-3}, S2 = {(x,y)/ Os x s3, 15 y s5} and S3 = {(x,y)/0<x<3, 1sys5).
Then: *
O s1 and S2 are compact subspaces of R.
O s2 and S3 are compact subspaces of R.
O Only S2 is a compact subspace of R.
O None of S1, S2 and S2 is compact in R.
Transcribed Image Text:Let S1 = {(x,y)/ x2y-3}, S2 = {(x,y)/ Os x s3, 15 y s5} and S3 = {(x,y)/0<x<3, 1sys5). Then: * O s1 and S2 are compact subspaces of R. O s2 and S3 are compact subspaces of R. O Only S2 is a compact subspace of R. O None of S1, S2 and S2 is compact in R.
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