Використання детермінантів у зворотних матрицях для шифрування повідомлень

Abstract

The paper considers the use of determinants in computing inverse matrices for message encryption. Particular attention is paid to the mathematical foundations of matrix-based cryptographic algorithms, including the conditions for the existence of an inverse matrix and the role of the determinant in encryption and decryption processes. It is shown that the value of the determinant determines the possibility of correct recovery of encrypted messages. Examples of applying matrix operations in cryptography are presented, and the prospects for their software implementation are outlined.