Hi, I'm having a problem finding the inverse of a matrix in that I have no idea where I am going wrong. I am given two simultaneous equations and told to find the inverse of A and therefore determine the value of x.

. I have put this in the form Ax = b as asked by the question.

.

I know that if I multiply both sides by the inverse I get

. To find the inverse from here

(where the T is for transposed).

So

I calculated the det(A) as being 11 (14 -3) so

If something hasn't already gone wrong then here is where it doesn't make sense from me. Just to make sure that it was correct I decided to multiply A by the inverse I just got and to see if I got the identity matrix. I didn't. Can anyone help me in finding where I have gone wrong. I can do the rest from there

Thanks