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b) If so find P such that P(^-1)AP=B. (P^-1 is the inverse of P)

Ok so I'm not going to give the matricies because I don't know how to write them out properly on this and It doesnt really matter anyways.

First I found if A and B were similar, which to the best of my knowledge has to do with the determinant. ie: If the determinant of A and B are equal then A~B, is this correct?

Since I found they were similar, I went on to part b and this is where I am stuck. I have looked through all my notes and the book notes and none of them seem to ever solve for p, they just get to a certian point in the problem and write out, "therefore P(^-1)AP=B" and it makes no sense to me.

Some advice on a method to go about finiding P would be much appreciated, it's exam time! Thanks in advance.