# Matrix Calculator Multiplication

## Multiplication of Matrices

A step by step matrix calculator multiplication is presented. It has been designed so that the steps needed to do mulitplications of rows of matrix 1 by the columns of matrix 2 are shown.
Let \( M_1 \) be a matrix of dimensions \( m \times p \) and \( M_2 \) be a matrix of dimensions \( p \times n \), the mulriplication of \( M_1 \) and \( M_2 \) is given by
\[ M_1 \cdot M_2 = M \]
where \( M \) is a matrix of dimensions \( m \times n \)

In the calculator below, the elements matrices \( M_1 \) and \( M_2 \) are generated randomly and the mutliplication is done step by step for educational purposes.

The multiplication is done by multiplying the rows of \( M_1 \) by the columns of \( M_2 \) as shown in the steps of multiplication. At each step is shown the element \( M_{i,j} \) and the row (in red) mutliplied by the column (in blue).