Commutation

the day started with some more matrix multiplication(read robotics class &***%$$) then we had the two hour quantum computing class in which commutation of variables was the topic .We started with schrodinger's equation ,tried to solve it under the apporximation
consider the eigen equation
A|vi> = ai|vi>
ai are all distinct non degenerate
a1= a2 some ai are same
degenerate
the eigen value equation
we consider the vector in Hilbert's Space representing the state ,if we take the projection on the x axis we get the wave function.
[x,Px] = x.PX-PX.x is not equal to zero but ih

well it reminds of the fact that even though two functions may be independent and then they can't commute .if they can't commute then there is no uncertainty.