Random matrix theory is a branch of mathematics that studies the properties of matrices with randomly generated entries. It explores how these matrices behave in large dimensions and reveals surprising connections to various fields, including physics, statistics, and number theory. One of the key insights of random matrix theory is that the eigenvalues of large random matrices tend to follow specific statistical distributions. This phenomenon has applications in areas such as quantum mechanics, wireless communication, and even finance, where understanding complex systems is crucial for making predictions and analyzing data.