Expert: Ahmed Salami - 9/23/2004

Question
When given a matrix "A" that and a Matrix "B" , how do i find matrix "X" such that AX=B?


Answer
Hi Karl,
I'm terribly sorry about the delay. I had a technical problem with the site.
If AX = B
multiplying both sides by the inverse of A(i.e A*) gives
A*.AX = A*B
But multiplying any matrix by its inverse results in the unit matrix I. So,
IX = A*B, or simply
X = A*B
The inverse of a matrix is found by dividing the adjoint of the matrix by its determinant, the adjoint being the transpose of the cofactor matrix of the matrix. If you're not already familiar with the terms;inverse, adjoint, determinant, cofactor, then i would suggest you read a good textbook.
I hope i have helped. You can always get back to me if you find any need to.
Good luck.
Regards.