Typical Applications of Matrices in Cryptography and Their Theoretical Support for Efficient and Green Intelligent Computing

As the core content of linear algebra, matrices provide basic mathematical support for many algorithms in artificial intelligence (AI). The characteristic of efficient computation in matrix theory facilitates the dual improvement of the performance and energy efficiency of AI algorithms. This paper focuses on the typical applications of matrices in cryptography, aiming to provide theoretical support for constructing an efficient and green intelligent computing path. Research shows that as a bridge connecting mathematical theory and technological applications, matrices not only occupy a fundamental position in the development of AI but also possess extensive research value and profound social significance.