How to express (200, 248) as a linear combination of 200, 248 by using the Euclidean Algorithm. Q2 Write three congruence classes modulo 3 and five congruence classes modulo 5. Q3. Solve the following congruences: a) 91 = 0(mod 13) b) -2 = 1 (mod 3) Solve the following linear congruences: a) 2x = 5(mod 7) b) 3x = 6(mod 9) c) 9x = 5 (mod 25) d) 7x = 22 (mod 31)
How to express (200, 248) as a linear combination of 200, 248 by using the Euclidean Algorithm. Q2 Write three congruence classes modulo 3 and five congruence classes modulo 5. Q3. Solve the following congruences: a) 91 = 0(mod 13) b) -2 = 1 (mod 3) Solve the following linear congruences: a) 2x = 5(mod 7) b) 3x = 6(mod 9) c) 9x = 5 (mod 25) d) 7x = 22 (mod 31)
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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![How to express (200, 248) as a linear combination of 200, 248 by using the Euclidean Algorithm.
k)
Q2
Write three congruence classes modulo 3 and five congruence classes modulo 5.
Q3.
Solve the following congruences:
a) 91 = 0(mod 13)
b) -2 = 1(mod 3)
Solve the following linear congruences:
a) 2x = 5(mod 7)
b) 3x = 6(mod 9)
c) 9x = 5 (mod 25)
d) 7x = 22 (mod 31)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1d2c342e-84c2-4db1-b776-c97bf0c9338f%2F8a9ab4cb-7eb5-49e6-973b-77ec9be5deb1%2Fjcwank_processed.jpeg&w=3840&q=75)
Transcribed Image Text:How to express (200, 248) as a linear combination of 200, 248 by using the Euclidean Algorithm.
k)
Q2
Write three congruence classes modulo 3 and five congruence classes modulo 5.
Q3.
Solve the following congruences:
a) 91 = 0(mod 13)
b) -2 = 1(mod 3)
Solve the following linear congruences:
a) 2x = 5(mod 7)
b) 3x = 6(mod 9)
c) 9x = 5 (mod 25)
d) 7x = 22 (mod 31)
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