- #1

rainwyz0706

- 36

- 0

(i) P ei = λi Qei ;

(ii) <P ei , ej > = δi j λi ;

(iii) <Qei , ej > = δi j .

I could use the spectral theorem to find an orthonormal basis ei for P and Q separately, but how can I connect them together? Could anyone give me some hint? Any help is greatly appreciated!