matricies!!!! Key Sequence matricies exist, you can add them, scalarly multiply them, and actually multiply them they can represent Linear Maps by showing where they take basis unsurprisingly, the set of matricies of a shape is a vector space New Definitions matricies matrix of Linear Map matrix addition and scalar multiplications matrix multiplication \mathbb{F}^{m,n} Results and Their Proofs sums and scalar multiplication of matricies, and why they work to represent Linear Maps \mathbb{F}^{m,n} is a vector space Interesting Factoids its literally matricies