It should not be confused with the more common matrix product.

This is a quadratic form in x and x, which can also be written as a matrix product:

Note the presence of matrix products and explicit inversion, this limits the practical block size.

The matrix product contains all these dot products.

This term may refer to a number of different ways to multiply matrices, but most commonly refers to the matrix product.

The matrix product can still be calculated exactly the same way.

A block partitioned matrix product can sometimes be used that involves only algebra on submatrices of the factors.

For the matrix product often a separate name is used, the dielectric displacement vector .

A well-known example is Strassen's algorithm for matrix product.

Just as with transposition, if a matrix product is inverted the order of the factors must be reversed.