For matrices, there is no such thing as division. You can add, subtract, and multiply matrices, but you cannot divide them. ... Since multiplying by1/3 is the same as dividing by 3, you could also multiply both sides by 1/3 to get the same answer: x = 2.

Why can't we divide a matrix?

Not all nonzero matrices are invertible. This is because the set of matrices, unlike real numbers, has zero divisors: there are nonzero matrices A,B such that AB=0. If you could divide B by A, you would get B=0/A=0, a contradiction.

Is it possible to divide a matrix by another matrix?

Understand matrix "division." Technically, there is no such thing as matrix division. Dividing a matrix by another matrix is an undefined function. The closest equivalent is multiplying by the inverse of another matrix. In other words, while [A] ÷ [B] is undefined, you can solve the problem [A] * [B]^-1.