A is a 2x2 matrices

$\displaystyle A^2=-I$

and there is a transformation for which $\displaystyle T^2=-I$

there is a basis B={v,T(v)} for which

$\displaystyle [T]_B$=

(0 1)

(-1 0)

prove that A is similar to

(0 1)

(-1 0)

matrices.

how i tried:

i got T being represented by base B

$\displaystyle [T]_B$=

(0 1)

(-1 0)

i got T being represented by the stansdart base which is

A matrices.

what so A is similar to

(0 1)

(-1 0)

??

bacause of what?

is it correct?