What is the result of the commutator [A,B]=AB−BA[A, B] = AB - BA[A,B]=AB−BA for A=(0100)A = \begin{pmatrix} 0 & 1 \\ 0 & 0 \end{pmatrix}A=(0010) and B=(0010)B = \begin{pmatrix} 0 & 0 \\ 1 & 0 \end{pmatrix}B=(0100)?
(100−1)\begin{pmatrix} 1 & 0 \\ 0 & -1 \end{pmatrix}(100−1)
(0110)\begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}(0110)
(−1001)\begin{pmatrix} -1 & 0 \\ 0 & 1 \end{pmatrix}(−1001)
(0000)\begin{pmatrix} 0 & 0 \\ 0 & 0 \end{pmatrix}(0000)