if a power has more than one character, you must put it in {}, that is type P^{-1} to get

for reflexivity, you must show that each matrix here is similar to itself, using will suffice. (sorry for giving you the answer, won't happen again )

for symmetry, you must show that if matrix is similar to matrix , then matrix will be similar to matrix (just go by the definitions here. some ingenuity might be required to show that you can find such matrices for this to happen)

for transitivity, show that if is similar to and is similar to , then will be similar to . again, go by the definition of what it means to be similar, that is, the equation you were given

to get the symbol for the real numbers, type \mathbb{R}

example [tex]A,B \in M_n ( \mathbb{R} )[/tex] yields

This is my 63th post!!!!