Given the following system (M). (x = 2(mod 13) x = 1(mod 14) x = 3(mod 15) x = 2(mod 16) Which among the following options is true? O None of these We can solve (M) using Chinese O Remainder Theorem and we get that (M) has a no integer solution. We cannot solve (M) using Chinese Remainder. We can solve (M) using Chinese Remainder Theorem and we get that (M) has a unique solution modulo 43680. We can solve (M) using Chinese Remainder Theorem and we get that (M) has a unique integer solution.

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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Given the following system (M).
(x = 2(mod 13)
|x = 1(mod 14)
x = 3(mod 15)
(x = 2(mod 16)
Which among the following options is true?
None of these
We can solve (M) using Chinese
O Remainder Theorem and we get that
(M) has a no integer solution.
We cannot solve (M) using Chinese
Remainder.
We can solve (M) using Chinese
Remainder Theorem and we get that
(M) has a unique solution modulo
43680.
We can solve (M) using Chinese
O Remainder Theorem and we get that
(M) has a unique integer solution.
Transcribed Image Text:Given the following system (M). (x = 2(mod 13) |x = 1(mod 14) x = 3(mod 15) (x = 2(mod 16) Which among the following options is true? None of these We can solve (M) using Chinese O Remainder Theorem and we get that (M) has a no integer solution. We cannot solve (M) using Chinese Remainder. We can solve (M) using Chinese Remainder Theorem and we get that (M) has a unique solution modulo 43680. We can solve (M) using Chinese O Remainder Theorem and we get that (M) has a unique integer solution.
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