The most important method of matrix multiplication is generalized matrix product. It only makes sense when the number of columns in the first matrix is the same as the number of rows in the second matrix.

When we generally refer to matrix product, we mean general matrix product. The matrix of m×n is a digital array in which m×n numbers are arranged in m rows and n columns. Because it compactly concentrates a large amount of data together, sometimes it can simply represent some complex models, such as power system network model.

Extended data:

Matters needing attention

1. When the number of columns of matrix A is equal to the number of rows of matrix B, A and B can be multiplied.

2. The number of rows of matrix C is equal to that of matrix A, and the number of columns of matrix C is equal to that of matrix B. ..

3. The elements in row M and column N of product C are equal to the sum of the products of the elements in row M of matrix A and the corresponding elements in column N of matrix B. ..

It is worth noting that when "matrix multiplication" or "matrix multiplication" is mentioned, it does not mean these special product forms, but the matrix multiplication described in the definition. When describing these special products, use the special names and symbols of these operations to avoid ambiguity.

Baidu encyclopedia-matrix transposition