Shirley Thompson

Answered

2021-12-16

Is division of matrices possible?

Is it possible to divide a matrix by another? If yes, What will be the result of

Answer & Explanation

Marcus Herman

Expert

2021-12-17Added 41 answers

There is a way to performa sort of division , but I am not sure if it is the way you are looking for. For motivation ,consider the ordinary real numbers R . We have that for two real numbers,

The same goes for different algebraic structures. That is, for two elements x, y in this algebraic structure we define

The inverse of A is then given by

and you should check that

Chanell Sanborn

Expert

2021-12-18Added 41 answers

For ordinary numbers

If B is invertible, then you can form

If B is not invertible, then

Jeffrey Jordon

Expert

2021-12-26Added 2575 answers

Normally, matrix division is defined as

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