Explore the advanced mathematical concepts of vexels and maxels in this 36-minute lecture from the Math Foundations series. Delve into the generalization of vectors and matrices, learning how to multiply vexels and maxels. Discover the relationship between rows and columns of a maxel as vexels, and examine the crucial concept of rank. Investigate the Rank theorem for maxels, which establishes the equality of row and column ranks. Gain insights into linear relations, factorization, and linear combinations, while exploring the symmetry of these mathematical structures.