a b 3. Write a program in python that will determine the inverse mod 26 of...
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a b 3. Write a program in python that will determine the inverse mod 26 of d e h The naïve method for calculating multiplicative inverse of 'a' mod m is given below: def modInverse(a,m): a = a % m; for x in range(1, m): return 1 Instead of this you may use Euclid's Extend algorithm to find modular inverse. if ((a * x) % m == 1) : return x Example: IfA = 157 3]. then find A-¹ mod 26. Now det(A)={(5 x 3) - (8 × 17)} mod 26 = -121 mod 26 = 9 -171 =[³8] and Adjoint of cofactor matrix is -8 5 Cofactor matrix of A = -81 5 So A¹= (1/det(A)) X Adj(cofactor(A))= (1/9) [173] (1/9) mod 26-9-¹ mod 26-3 3\_-³17 31 5 So A-¹ = 3 18 = 3 [³3 ¹59] mod 26 = 3 mod 26 541 -127 53] mod 26= 3 -17 mod 26- 3³1 [212 235] a b 3. Write a program in python that will determine the inverse mod 26 of d e h The naïve method for calculating multiplicative inverse of 'a' mod m is given below: def modInverse(a,m): a = a % m; for x in range(1, m): return 1 Instead of this you may use Euclid's Extend algorithm to find modular inverse. if ((a * x) % m == 1) : return x Example: IfA = 157 3]. then find A-¹ mod 26. Now det(A)={(5 x 3) - (8 × 17)} mod 26 = -121 mod 26 = 9 -171 =[³8] and Adjoint of cofactor matrix is -8 5 Cofactor matrix of A = -81 5 So A¹= (1/det(A)) X Adj(cofactor(A))= (1/9) [173] (1/9) mod 26-9-¹ mod 26-3 3\_-³17 31 5 So A-¹ = 3 18 = 3 [³3 ¹59] mod 26 = 3 mod 26 541 -127 53] mod 26= 3 -17 mod 26- 3³1 [212 235]
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Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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