Prove that for three operators A, B, C we have the following relations: [A, B+C]=[A,B]+[A,C] \\...

Question:

Commutators:

Recall that the commutative property from algebra states

{eq}\begin{align*} ab = ba \end{align*} {/eq}

For real numbers this is of course to, and it's easy to take for granted. Unfortunately, not all operations commute (e.g. matrix multiplication). The commutator is designed as the remainder of the difference of these products:

{eq}\begin{align*} [a,b] &= ab - ba \end{align*} {/eq}

Answer and Explanation: 1