a₁xb₁ (mod m₁) a2xb₂ (mod m₂) ax=bk (mod mk.) has a unique solution modulo M = [1 mi, provided that (aį, m₁) = 1 and (mi, mj) = 1, for i #j.
a₁xb₁ (mod m₁) a2xb₂ (mod m₂) ax=bk (mod mk.) has a unique solution modulo M = [1 mi, provided that (aį, m₁) = 1 and (mi, mj) = 1, for i #j.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Can you help me to show that the systhem has a unique solution.
Transcribed Image Text:=
has a unique solution modulo M
for i ‡ j.
a₁xb₁ (mod m₁)
a2x b₂ (mod m₂)
akx bk (mod mk.)
1 m₁, provided that (aį, m₁) :
=
1 and (mi, mj) = 1,
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