The foundation of cryptography is number theory, which is crucial to data security. The majority of commonly used encryption techniques use prime integers, making it challenging to identify specific prime values (keys). The suggested approach employs matrices and vectors as keys, making it harder to identify the individual keys and using vectors to represent the data. Now a days, one method for providing data security safeguards is encryption. The right encryption technique protects digital data from unauthorized access, data corruption, e-piracy, e-theft, and other threats. Data security is the main benefit of utilizing this method. Here, we have used the symmetric key encryption procedure to generate keys from two uneven matrices. Seven different keys in matrix format have been chosen to perform encryption and decryption. With the help of an example, the techniques for encryption and decryption have been explained.