Question

5. You proved in the previous homework that H = {I2,P1, P2, P3, P4, P3} where Pa = - “].P=641 -].P = [1 74].P4=[;],Ps= li bl12=_9. Is a multiplicative subgroup of M2(R). Thus it is a group in its own right. You can verify that H1 = {I2,Ps} is a subgroup of the group H.

Answer 1

Q-5. let H= h Iq , P ,, P2, P3, Puips 3 then His a multiplicative subgroup of M2 (R) Now let Hi= h I di Ps3 where Ps= !!)

Кое е (с: (+2) - (?) = PS = Id * Psa es (то До] clearly Ps. Iga Ps e Hi and ls.lsa Ig GHI I Hi i closed Also, Ps= ls 3. P.1 А» ан, и азьтер «н