1. ## Matrices

In A[X - B]C = D, all matrices are non-singular. What is the expression for matrix X?

2. $
X = A^{ - 1} DC^{ - 1} + B$

3. Originally Posted by Peritus
$
X = A^{ - 1} DC^{ - 1} + B$
why not $X=C^{-1}DA^{-1} +B$ or $X= (CA)^{-1}D +B$

4. because Matrix Multiplication is not commutative