The inverse modulus would be to find X such that mod(X,Y) = M where M and Y are known (or X === M (mod Y)); this is the chinese remainder theorem which is generalized for any number of Y's and M's when all have the same X and the GCD of all Y = 1 (greatest common divisor). The author is actually requesting Y*Z + M = X*B, which is not the same thing, or the inverse modulus.
Sorry about that...it was only for learning purposes...
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Cryptography with A Square Matrix : Decoding
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