Consider S E (P3, R3], with or a. basis of P3 and ,8 a. basis for R3 as follows: #10 - 10(0) p(1)p(0) 1 1 0 a={1+t,t+t2,1+t2} ,8: 1 , 1 , 0 0 0 1 Find the matrix [112. 5'03) = [PW] -P(0) (You do not need to check that S is Linear, and you do not need to check if 0: and {:3 are bases.)