1)A)T is a normal in V inner product space

there is different polinomial

prove that if and then u orthogonal to v?

how i tried:

i have defined and and proved that v is eigen vector of of eigenvalue 0.

and u is eigen vector of of eigenvalue 1.

so if is normal then u is orthogonal to v.

but how to prove that M_{2}(t)Q_{2}(t) is normal?

i cant show here that TT*=T*T

MQ(MQ)*=MQQ*M*

(MQ)*MQ=Q*M*MQ

those two are not the same

??