Is there any formula for division of two matrices? If yes then what is that? n if no then how can we divide two matrix ?

There is no formula for the division of matrices. It can only be solved by Inverse of Matrices method.

The inverse of a matrix A, i.e. A^{-1} can be found out by the following way:

- Find determinant of A, i.e. |A|.
- Find the adjacent matrix of A, i.e. adjA.
- Put values of |A|and adjA in the formula:A
^{-1}= Scalar product of reciprocal of |A| and adjA = |A|^{-1|}adjA = adjA / |A|

Lets take an examples,

1) A is a square matrix ,A =I^{2 },then what is A inverse?

Solution,

A=I^{2}

Thus,

A=I.I

=I

Thus,

Postmultiplying by A^{-1} on both sides,

A.A^{-1=} I. A^{-1}

Thus, we get,

I=A^{-1}

Or A^{-1}=I

You can also follow the given link,

The process of finding out the inverse of a matrix is explained with the help of animated video in the following link:

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