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Matrix Division

Tool to calculate matrix algebra divisions. The matrix division consists of the multiplication by an inverted matrix.

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Tag(s) : MATRIX

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Matrix Division

Matrix Division

Division of a Matrix by a Scalar (Number)

Tool to calculate matrix algebra divisions. The matrix division consists of the multiplication by an inverted matrix.

How to divide 2 matrices?

Consider $$M_1$$ a matrix of $$m$$ lines and $$n$$ columns and $$M_2$$ a square matrix of $$n$$ lines and $$n$$ columns. The matrix division $$M_1/M_2 = M_1 \times M_2^{-1}$$ consists in the multiplication of the matrix M1 by the inverse matrix of M2.

To be invertible, the matrix $$M_2$$ must be a square matrix.

How to divide a matrix by a scalar?

The division of the matrix $$M=[a_{ij}]$$ by a scalar $$\lambda$$ is a matrix of the same size than the initial matrix M, with each items of the matrix divided by $$\lambda$$. $$\frac{M}{\lambda} = [ a_{ij} / \lambda ]$$