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Matrix Division

Tool to calculate matrix divisions of 2 matrices (2x2, 3x3, 4x4, 5x5, …). The matrix division consists of the multiplication by an inverted matrix.

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Matrix Division -

Tag(s) : Matrix

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# Matrix Division

## Matrix Division

### What is a matrix division? (Definition)

Taking a matrix $M_1$ of $m$ rows and $n$ columns and $M_2$ a square matrix of $n \times n$. The dividing matrices operation with two matrices $M_1/M_2$ consist in the multiplication of the matrix $M_1$ by the inverse matrix of $M_2$ : $M_2^{-1}$. $$M_1/M_2 = M_1 \times M_2^{-1}$$

### How to make a division with matrices?

To calculate a matrix division, proceed in stages:

— Check that the number of columns of the matrix $M_1$ is equal to the number of rows of the matrix $M_2$

— Check that the matrix $M_2$ is a square matrix (same number of rows and columns: 2x2, 3x3, 4x4, NxN).

— Check that the matrix $M_2$ is an invertible matrix.

— Calculate the inverse of the matrix $M_2$ noted $M_2^{-1}$

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