deletions | additions       diff --git a/Slater Determinants.tex b/Slater Determinants.tex  index b431ae4..cefdeff 100644  --- a/Slater Determinants.tex  +++ b/Slater Determinants.tex 
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\begin{vmatrix}  \phi_1(r_1) & \phi_2(r_1) \\ \phi_1(r_2) & \phi_2(r_2)  \end{vmatrix}  \end{equation} But from equation $4$ we know that $|A|A^{-1}=M$, where $M$ is some matrix. However, each element of this matrix is also a determinant.