5. (10 points)1) Show step by step how Euclid algorithm works to find gcd(698, 284)2) Suppose the function x,+1 = (ax, + c) mod m is used to generate pseudo randomnumber. Assume : m=10,a=7,c=3, xo = 2 , what are x1, X2 and x3 ?

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Answered: 5. (10 points) 1) Show step by step how…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.4: The Singular Value Decomposition

Problem 51EQ

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Similar questions

Suppose that the check digit is computed as described in Example . Prove that transposition errors of adjacent digits will not be detected unless one of the digits is the check digit. Example Using Check Digits Many companies use check digits for security purposes or for error detection. For example, an the digit may be appended to a -bit identification number to obtain the -digit invoice number of the form where the th bit, , is the check digit, computed as . If congruence modulo is used, then the check digit for an identification number . Thus the complete correct invoice number would appear as . If the invoice number were used instead and checked, an error would be detected, since .
Prove that Euclid’s algorithm always stops and producesgcd(a, b).
Show the proof with MRJ method
Find the sequence of pseudorandom numbers generated by the linear congruential method with modulus m = 9, multiplier a = 89, increment c = 2, and seed x0= 5. xn+1 = (axn + c) mod m.
What sequence of pseudorandom numbers is generated using the pure multiplicative generator xn+1 = 3xn mod 11 with seed x0 = 2?

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5. (10 points) 1) Show step by step how Euclid algorithm works to find gcd(698, 284) 2) Suppose the function x,+1 = (ax, + c) mod m is used to generate pseudo random number. Assume : m=10,a=7,c=3, xo = 2 , what are x1, x2 and x3 ?