Two operators, in a suitable basis with matrix representations $A$ and $B$ have the following commutator $[A, B] = AB − BA = kI$, where $k$ is a non-zero complex number and $I$ is the $n × n$ identity matrix, where $n$ can be any integer between 1 to ∞. Determine if the matrices $A$ and $B$ are of finite or infinite dimensionality, and prove your assertion, using only the commutation relation given above.
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Qmechanic
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Possible duplicate: https://physics.stackexchange.com/q/10230/2451 and links therein. – Qmechanic Aug 13 '20 at 10:10
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it's not a duplicate post, kindly compare my question with the link you have given – Isher Mondal Aug 13 '20 at 10:29