# Matrices multiplication

Calculator for multiplying 3x3 matrices

## Online calculator for matrix multiplication

To perform the calculation, enter the data of two matrices to be multiplied. Then click the button 'Calculate'.

Empty fields are counted as zero.

 Matrix A Matrix B  •  Decimal places 0 1 2 3 4 6 Result M11 M12 M13 M21 M22 M23 M31 M32 M33

## Description of the matrix multiplication

There is a special rule for multiplications of matrices constructed in such a way that that they can represent simultaneous equations using matrices.

• Two matrices can be multiplied if the number of columns in the left matrix is the same as the number of rows in the right matrix.

• The product of a matrix is calculated by calculating the product sums of the pairs from the row vectors of the first matrix and the column vectors of the second matrix

Example   The first element of the product $$C$$, is the sum of the products of each element of the first row of $$A$$, and the corresponding element of the first column of $$B$$  