What is matrix in AI?

Could you please elaborate on the concept of matrix in the realm of Artificial Intelligence? How does it play a pivotal role in the intricate workings of AI systems? What specific functions or operations does a matrix facilitate within these complex algorithms, and what kind of data structures do they represent? Furthermore, are there any key advantages or benefits that the utilization of matrixes offers in the development and implementation of AI technologies? I'm eager to gain a deeper understanding of this intriguing aspect of AI.