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4. (a) Solve the set of congruences х 1(mod 3), x= 2(mod 4), x = 3(mod 5).

4. (a) Solve the set of congruences х 1(mod 3), x= 2(mod 4), x = 3(mod 5).

Advanced Engineering Mathematics
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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Determine the irreducible polynomial for V2 + V3 over each of the following (b) fields (i) Q, (ii) Q( /2 ). 4. (a) Solve the set of congruences x = 1(mod 3), x = 2(mod 4), x = 3(mod 5). (b) Show that PG(2, F,) is a projective plane. (a) Let P be a matrix in SO3(C). Prove that 1 is an eigenvalue of P. (h) 5.
Transcribed Image Text:Determine the irreducible polynomial for V2 + V3 over each of the following (b) fields (i) Q, (ii) Q( /2 ). 4. (a) Solve the set of congruences x = 1(mod 3), x = 2(mod 4), x = 3(mod 5). (b) Show that PG(2, F,) is a projective plane. (a) Let P be a matrix in SO3(C). Prove that 1 is an eigenvalue of P. (h) 5.
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