(7) For any nonzero a, b € Z, the gcd(a, b) divides the lem(a, b). (8) If r, y € Z and 3 divides ry, then 3 divides both r and y.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 33EQ
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Please help me answer number 7 and 8.
B. (1 point each) True or False. Justify your answer.
(5) The integer 1 has exactly two divisors.
(6) The integer 0 has exactly one divisor.
(7) For any nonzero a, b e Z, the gcd(a, b) divides the lem(a, b).
(8) If r, y € Z and 3 divides ry, then 3 divides both r and y.
Transcribed Image Text:B. (1 point each) True or False. Justify your answer. (5) The integer 1 has exactly two divisors. (6) The integer 0 has exactly one divisor. (7) For any nonzero a, b e Z, the gcd(a, b) divides the lem(a, b). (8) If r, y € Z and 3 divides ry, then 3 divides both r and y.
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