Question

let V be the vector space of all symmetric 2x2 matrices, and consider the bases S+B of V:
S= {(1 0) (0 1) (0 0)}
(0 0), (1 0), (0 1)
and
B = {(-1 2) (1 -1) (2 -1)}
(2 -2), (-1 1), (-1 2)
**these are 3 2x2 matrices in each base

find the transition matrix Ps,b.
use your answer to calculate Pb,s