Question: (a) (3 marks) Show that gcd[41, ') = 1 using the Euclidean Algorithm. (b) (3 marks) Express god(41, 660) as a Linear combination of the

(a) (3 marks) Show that gcd[41, ') = 1 using the Euclidean Algorithm. (b) (3 marks) Express god(41, 660) as a Linear combination of the numbers 41 and 650. (o) (4 marks) Find an inverse for 41 modulo 660 and an inverse for 560 modulo 41. (d) (3 marks) Find a positive inverse for 660 modulo 41. (e) (3 marks) Find the least positive solution for the equation 6601* E 120 (mod 41)

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