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19. Prove the following by quoting the parts of Theorem 6: (a) If A'UB = U, then A nB' = ! (b) If A UB = B, then A U (B nA') = B. Sndepl 3.4 Boolean Alg A, then B n (B nA') (c) If A nB A.

19. Prove the following by quoting the parts of Theorem 6: (a) If A'UB = U, then A nB' = ! (b) If A UB = B, then A U (B nA') = B. Sndepl 3.4 Boolean Alg A, then B n (B nA') (c) If A nB A.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.2: Matrix Algebra
Problem 21EQ: Prove the half of Theorem 3.3 (e) that was not proved in the text.
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Could you do questions 19. a), b), and c).

There are two pictures but the problem goes together.

19. Prove the following by quoting the parts of Theorem 6: (a) If A'UB = U, then A nB' = ! (b) If A UB = B, then A U (B nA') = B.
Transcribed Image Text:19. Prove the following by quoting the parts of Theorem 6: (a) If A'UB = U, then A nB' = ! (b) If A UB = B, then A U (B nA') = B.
Sndepl 3.4 Boolean Alg A, then B n (B nA') (c) If A nB A.
Transcribed Image Text:Sndepl 3.4 Boolean Alg A, then B n (B nA') (c) If A nB A.
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