Final Answer:
The congruence class representative of 29^(-1) mod 23 is 10.
Step-by-step explanation:
To find the congruence class representative of 29^(-1) mod 23, we need to find an integer x such that (29 * x) ≡ 1 (mod 23). This is equivalent to solving the modular equation 29x ≡ 1 (mod 23). In other words, we are looking for the modular multiplicative inverse of 29 modulo 23.
To solve this equation, we can use the Extended Euclidean Algorithm. The algorithm yields Bézout coefficients (s, t) such that 29s + 23t = 1. In this case, we find that s = 10 and t = -13. Since we are interested in the congruence class representative, we take the positive value of s, which is 10. Therefore, the solution to 29^(-1) mod 23 is 10.
In summary, the congruence class representative of 29^(-1) mod 23 is 10, and this result is obtained by applying the Extended Euclidean Algorithm to find the modular multiplicative inverse of 29 modulo 23.