deletions | additions       diff --git a/i equivalent.tex b/i equivalent.tex  index 6949716..9e36e96 100644  --- a/i equivalent.tex  +++ b/i equivalent.tex 
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If we have the parallel that $AJ$ is to $A$ what $-a$ is to $a$, then what of the parallell $ia$ to $a$, consider the operation \begin{equation}  A \to J((JA)J) =   \begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}\bigg(\bigg(\begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}\begin{bmatrix} a & b \\ c & d \end{bmatrix}\bigg)\begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}\bigg)  =\begin{bmatrix} b & a \\ d & c\end{bmatrix}  \end{equation}