_Matrix multiplication_ is an operation that takes two matrices for inputs, and outputs a product matrix.

We may write \$$A \times B = C\$$, where the variables now stand for matrices.

If \$$A\$$ is a row vector of length n, and \$$B\$$ is column vector of length n, then the matrix multiplication \$$A \cdot B\$$ is precisely defined to the dot product \$$A \cdot B\$$ of \$$A\$$ and \$$B\$$.

The notation coincides; matrix multiplication is a strict generalization of the dot product, to the case of general matrices.