how does matrix multiplication work?

Matrix multiplication is a way of multiplying two matrices together. A matrix is a grid of numbers, and multiplying two matrices together is really just combining them in a certain way. To do this, you start by picking two matrices, A and B. The matrices must be compatible, which means that the number of columns in matrix A must match up with the number of rows in matrix B. Then, you take the first row of matrix A and the first column of matrix B, and multiply the numbers in that row and column together. You add up all of these products, and the answer is the first number in the results matrix. Then, you repeat this process for the rest of the row and column, until all of the numbers in the results matrix are filled in. This is matrix multiplication!