The Role of Matrices in Modern Scientific and Technological Innovation: A Cross Disciplinary Approach

Abstract

Applied mathematics has many tools for the purpose of security. Amongst these tools Matrices play a significant role in the field of scientific research and technological research fields. The structured form and algebraic properties of Matrices help the researchers in elegant representation and manipulation of complex systems. This paper examines the extensive implementation of matrices in various fields; to solve modern human life problems. In the field of computer it is used for graphics rendering, machine learning and cryptography. In Physics, matrices are used to describe quantum mechanics, applied mechanics and dynamic systems, Cryptography depends on mathematical operations. Through cryptography a messages or information can be converted in any other message but these message conversion in reverse order without help of a secret key is very hard task or challenging task . These “hard problems” provide security because attackers cannot feasibly break the encryption