(a)
To find:
An inverse for
Given information:
Concept used:
Calculation:
The objective is to find an inverse for
First. Find the greatest common divisor using the quotient remainder theorem as,
The greatest common divisor when we divide
Thus, the greatest common divisor is
Now, express the greatest common divisor as a linear combination of
(b)
To find:
The least positive solution for the following congruence: