I am a second year student in quantum mechanics. I heard in lecture that simultaneous diagonalization of matrices is important in quantum mechanics. I would like to know why is it significant when two matrices can be simultaneous diagonalized, and what is the geometric and physical interpretation of simultaneous diagonalization of matrices in quantum mechanics and in physics in general.(adsbygoogle = window.adsbygoogle || []).push({});

Thank you for everyone's help.

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# Geometric and Physical Interpretation of Diagonalization

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