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a. Show that if a has a multiplicative inverse modulo N,then this inverse is unique (modulo...

a. Show that if a has a multiplicative inverse modulo N,then this inverse is unique (modulo N).

b. How many integers modulo 113 have inverses? (Note: 113 = 1331.)

c. Show that if a ≡ b (mod N) and if M divides N then a ≡b (mod M).

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