hey

for 'x' part of question:

basically 'x' is a common multipling matrix,

The constraints on x are as follows:

if A and B are 2x2 matrices, then x must be a 2x2 matrix

if A and B are 3x3 matrices, then x must be a 3x3 matrix

.

.

if A and B are nxn matrices, then x must be a nxn matrix

and obviously the matrix of B = the matrix of A* the matrix of x

for solving:

Normally in these problem they will want you to calculate the x-value

to do this you treat like you would any equation and make the equation into the form x=...

if you multiply by the invere of A on both sides you get:

(Ile use 'AI' to represent the inverse of A)

A*(AI)*x=B*(AI)

as A*(AI)=1, the equation becomes:

x=B*(AI)

and hence you can have/can work out the value of x

if theyve given you the values of B and A, you should work out the B*AI matrix components and write in terms of x

so (if x was a 3 x 3 matrix for example) wrtie as:

x =

[ a b c

d e f

g h i ]

otherwise writing it like 'x=B*(AI)' should be fine

hope this helps