this is for holding javascript data
Benedict Irwin edited untitled.tex
over 9 years ago
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\end{equation}
Extrapolating backwards for a two by two matrix we get the correct formula on the proviso we definfe $J_1\equiv-1$. This makes some sense, as for any $J_nJ_n=I$ and $J_nJ_nA=A$.
We can further extrapolate to the inverse of a 1x1 matrix $A=A_11$, taking the $R_11$ element to be the zero matrix, the determinant of this matrix is $1$ and the reciprocal of the determinant of $A$ is then just the reciprocal of $A_11$, which again is the inverse of the 1x1 matrix.