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Use the construction in the proof of the Chinese remaindertheorem to find all solutions to the system of congruences x ≡ 1(mod 2), x ≡ 2 (mod 3), x ≡ 3 (mod 5), and x ≡ 4 (mod 11)

Use the construction in the proof of the Chinese remaindertheorem to …

SOLVED:Complete the proof of the Chinese remainder theorem by showing that the simultaneous solution of a system of linear congruences modulo pairwise relatively prime moduli is unique modulo the product of these moduli. [ Hint: Assume that x and y are two simultaneous solu- tions. Show that mi | x-y for all i . Using Exercise 29 , conclude that m=m1 m2 ⋯mn | x-y1 ]

SOLVED:Complete the proof of the Chinese remainder theorem by sh…

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