Given the following system (M). (х%3D2 (тod 16) х%3D 1(тоd 17) x = 3(mod 18) x = 2(mod 19) Which among the following options is true? None of these We can solve (M) using Chinese Remainder Theorem and we get that (M) has a unique integer solution. We can solve (M) using Chinese Remainder Theorem and we get that (M) has a no integer solution. We can solve (M) using Chinese Remainder Theorem and we get that (M) has a unique solution modulo 93024. We cannot solve (M) using Chinese Remainder.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 30EQ
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Given the following system (M).
(x = 2(mod 16)
x = 1(mod 17)
х%3 3(тоd 18)
\x = 2(mod 19)
Which among the following options is true?
None of these
We can solve (M) using Chinese
Remainder Theorem and we get
that (M) has a unique integer
solution.
We can solve (M) using Chinese
Remainder Theorem and we get
that (M) has a no integer solution.
We can solve (M) using Chinese
Remainder Theorem and we get
that (M) has a unique solution
modulo 93024.
We cannot solve (M) using Chinese
Remainder.
Transcribed Image Text:Given the following system (M). (x = 2(mod 16) x = 1(mod 17) х%3 3(тоd 18) \x = 2(mod 19) Which among the following options is true? None of these We can solve (M) using Chinese Remainder Theorem and we get that (M) has a unique integer solution. We can solve (M) using Chinese Remainder Theorem and we get that (M) has a no integer solution. We can solve (M) using Chinese Remainder Theorem and we get that (M) has a unique solution modulo 93024. We cannot solve (M) using Chinese Remainder.
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