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suppose R has of the set inclusions: (a) Ba(1) C Ba(0) in R (b) B2(1, 1) C Ba(1,0) in R? (c) B(3,0,-2) C B,(1, 1,-1) in R (d) B2(1,0,0,0) C B(0,0,-1, 1) in R".

suppose R has of the set inclusions: (a) Ba(1) C Ba(0) in R (b) B2(1, 1) C Ba(1,0) in R? (c) B(3,0,-2) C B,(1, 1,-1) in R (d) B2(1,0,0,0) C B(0,0,-1, 1) in R".

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 12EQ
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3. In each case suppose R" has the norm |||| inclusions: = max {ril,., r.}. Prove each of the set (a) B3(1) C Ba(0) in IR (b) B2(1, 1) C B3(1,0) in R? (c) B,(3,0,-2) C B,(1, 1,-1) in R (d) B(1,0,0,0) C B(0,0,-1, 1) in R'.
Transcribed Image Text:3. In each case suppose R" has the norm |||| inclusions: = max {ril,., r.}. Prove each of the set (a) B3(1) C Ba(0) in IR (b) B2(1, 1) C B3(1,0) in R? (c) B,(3,0,-2) C B,(1, 1,-1) in R (d) B(1,0,0,0) C B(0,0,-1, 1) in R'.
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