Rewrite 17x=3 (mod 53) as linear combination. b) Using Euclidean Algorithm to find the gcd(17, 53). c) Using recursive Euclidean Algorithm to express the gcd(17, 53) as a linear combination of 17 and 53. d) Using the Linear Combination you found in part c to find the multiplicative inverse of 17(mod 53). e) Using the inverse you find in part d to solve 17x=3 (mod 53) , make sure you reduce your answer to LNR form. You can use " = " as "".
Rewrite 17x=3 (mod 53) as linear combination. b) Using Euclidean Algorithm to find the gcd(17, 53). c) Using recursive Euclidean Algorithm to express the gcd(17, 53) as a linear combination of 17 and 53. d) Using the Linear Combination you found in part c to find the multiplicative inverse of 17(mod 53). e) Using the inverse you find in part d to solve 17x=3 (mod 53) , make sure you reduce your answer to LNR form. You can use " = " as "".
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.5: Congruence Of Integers
Problem 34E
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a) Rewrite 17x=3 (mod 53) as linear combination.
b) Using Euclidean Algorithm to find the gcd(17, 53).
c) Using recursive Euclidean Algorithm to express the gcd(17, 53) as a linear combination of 17 and 53.
d) Using the Linear Combination you found in part c to find the multiplicative inverse of 17(mod 53).
e) Using the inverse you find in part d to solve 17x=3 (mod 53) , make sure you reduce your answer to LNR form.
You can use " = " as "".
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