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I have two matrices A and B which commute. For A I have 1,-1,-1 and for B I have 1,2,2.

I am asked to find the quamtum number for the three states. How to find the quantum states from the eigenvalues. It is further said that it is possible to find the eigenvectors from the quantum numbers. How to get the eigenvector from the quantum numbers?

Any help appreciated - thanks in advance

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# Quantum numbers

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