a) Does B – A = C – A imply that B = C? Justify b) Next, does A – B = A – C imply B = C? Justify c) Consider the set (A – B) – C. Is it the same as any of the following sets: A – (B– C), (A – C) – B, An (BºN Cº), or A – (BUC)? Justify

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.2: Length And Angle: The Dot Product
Problem 7AEXP
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 A closer look at the difference set operation:

 

a) Does B – A = C – A imply that B = C? Justify
b) Next, does A – B = A – C imply B = C? Justify
c) Consider the set (A – B) – C. Is it the same as any of the following sets: A-(B-C),
(A – C) – B, A n (Bºn C°), or A – (BUC)? Justify
Transcribed Image Text:a) Does B – A = C – A imply that B = C? Justify b) Next, does A – B = A – C imply B = C? Justify c) Consider the set (A – B) – C. Is it the same as any of the following sets: A-(B-C), (A – C) – B, A n (Bºn C°), or A – (BUC)? Justify
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