# (A) Let a, b and c be three integers such that abc = 0 and a | bc. Show that a | gcd(a, b)gcd(a, c). (B) Now?

a. suppose that gcd(a, b)= 1 and a|bc show that a|c. b. show that a rational number r is a cube if and only if every exponent of the prime factorization of ... - Read more

Show that A = C^-1BC. Please show all working. Image text transcribed for accessibility: Let A = [0 -1 1 2], B = [1 0 1 1], C = [2 -1 -1 1]. Show that A ... - Read more

## (A) Let a, b and c be three integers such that abc = 0 and a | bc. Show that a | gcd(a, b)gcd(a, c). (B) Now? resources

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Suppose that gcd(a,b) = 1, and suppose further that a divides the product bc. show that a must divide c.

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