

Hi
This is a question that appeared in my midsemester test and I would like someone to explain it to me. Thanks in advance.
Given that the matrices A, B and X are m x m order and (I_m) is the identity matrix.
Solve for matrix X, the equation:
AX  BA = (I_m)
Edit: Matrix A, B and X are of m x m order
Edited by tanpantheon1 02 Jun `17, 2:51PM



Hello
It has been some time since I did engineering maths, I am quite rusty.
 Can I know if there are any values for Matrices A and B?
 Is this question asked in a general scenario?
 What level (Nitec/Higher Nitec/Diploma/Degree?) of engineering
maths is this question aimed at?
 My solution is as follows, may not be right/what you are looking for.
 I tried on MATLAB using a few "randomly made up" matrices for A
and B, and i solved for X using my solution. The value of X that i
found agrees with the equation (AX  BA = I_m)
given in the question.
Edited by MyPillowTalks 04 Jun `17, 7:31AM



No problem
I guess the question wants to test the student's knowledge on manipulating matrix equations, and wants the students to know that a matrix cannot be "divided", and have to use the inverse property.
I have added in some more details and fit the document into a single page pdf file and it can be downloaded here
Edited by MyPillowTalks 05 Jun `17, 9:46PM
