Given A=(1002)A = \begin{pmatrix} 1 & 0 \\ 0 & 2 \end{pmatrix}A=(1002) and B=(3004)B = \begin{pmatrix} 3 & 0 \\ 0 & 4 \end{pmatrix}B=(3004), compute the commutator [A,B]=AB−BA[A, B] = AB - BA[A,B]=AB−BA.
(0000)\begin{pmatrix} 0 & 0 \\ 0 & 0 \end{pmatrix}(0000)
(3008)\begin{pmatrix} 3 & 0 \\ 0 & 8 \end{pmatrix}(3008)
(2112)\begin{pmatrix} 2 & 1 \\ 1 & 2 \end{pmatrix}(2112)
(3104)\begin{pmatrix} 3 & 1 \\ 0 & 4 \end{pmatrix}(3014)