Suppose you are asked to solve the system, using Chinese Remainder Theorem. You form the solution, . . . Identify each value. Make sure that any inverse value is the smallest positive inverse possible: . . . M₁ = M₂ = M3 = M₁ M₂ M3 = x = 3(mod 7) 3(mod 5) x = 4(mod 12) . TE y = 3. M₁ M₁ +3. M₂ M₂ +4. M3 - M3 .

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Suppose you are asked to solve the system,
using Chinese Remainder Theorem. You form the solution,
.
Identify each value. Make sure that any inverse value is the smallest positive inverse possible:
.
• M3 =
.
M₁ =
.
M₂ =
M₁ =
M₂
M3
=
x = 3(mod 7)
x = 3(mod 5)
x = 4(mod 12)
y = 3. M₁ M₁ +3 M₂ M₂ +4. M3 M3
.
.
✦
Transcribed Image Text:Suppose you are asked to solve the system, using Chinese Remainder Theorem. You form the solution, . Identify each value. Make sure that any inverse value is the smallest positive inverse possible: . • M3 = . M₁ = . M₂ = M₁ = M₂ M3 = x = 3(mod 7) x = 3(mod 5) x = 4(mod 12) y = 3. M₁ M₁ +3 M₂ M₂ +4. M3 M3 . . ✦
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