Let A %3D {a, b, с}, В %3D {b, с, d}, and C %3D {ь, с, е}. (a) Find A U (B n C), (A U B) n C, and (A U B) n (A U C). (Enter your answer in set-roster notation.) A U (B n C) = (A U B) n C = (A U B) n (A U C) = Which of these sets are equal? O AU (B n C) = (A U B) n C O (A U B) n C = (A U B) n (A C) O AU (B n C) = (A U B) n (A U C) (b) Find An (BU C), (A n B) U C, and (A n B) U (A n C). (Enter your answer in set-roster notation.) An (BU C) = (A n B) U C = (A n B) U (A n C) = Which of these sets are equal? O (A n B) U C = (A n B) U (An C) O An (B U C) = (A n B) U (A n C) O An (B U C) = (A n B) U C (c) Find (A - B) - C and A - (B – C). (Enter your answer in set-roster notation.) (А — В) — С 3 А — (В — С) 3 Are these sets equal? O Yes O No

Let A %3D {a, b, с}, В %3D {b, с, d}, and C %3D {ь, с, е}. (a) Find A U (B n C), (A U B) n C, and (A U B) n (A U C). (Enter your answer in set-roster notation.) A U (B n C) = (A U B) n C = (A U B) n (A U C) = Which of these sets are equal? O AU (B n C) = (A U B) n C O (A U B) n C = (A U B) n (A C) O AU (B n C) = (A U B) n (A U C) (b) Find An (BU C), (A n B) U C, and (A n B) U (A n C). (Enter your answer in set-roster notation.) An (BU C) = (A n B) U C = (A n B) U (A n C) = Which of these sets are equal? O (A n B) U C = (A n B) U (An C) O An (B U C) = (A n B) U (A n C) O An (B U C) = (A n B) U C (c) Find (A - B) - C and A - (B – C). (Enter your answer in set-roster notation.) (А — В) — С 3 А — (В — С) 3 Are these sets equal? O Yes O No

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.3: Change Of Basis

Problem 5EQ

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