Matrix multiplication (product)

For a matrix and , the matrix product is a matrix such that

Translating this into English can be helpful. For a matrix with rows and columns and a matrix with rows and columns, we obtain a matrix with rows and columns. The element of at row , column is obtained by taking the -th row of and the -th column of and finding their dot product.

matrixmultiplication.xyz provides a really nice animation to help visualize the procedure.