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Benedict Irwin edited section_Alternative_Interpretation_An_important__.tex
almost 9 years ago
Commit id: 85f8fada22e1859a83fe6e1c53b645f3cf94c3a0
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...
\end{bmatrix}
\end{equation}
Which appears to be the transform, "Take the row vectors of the matrix, and form block matrices", and place in the obvious order.
Some applications of this transform \begin{equation}
T(I_4)=\begin{bmatrix} 1&0&0&1\\0&0&0&0\\0&0&0&0\\1&0&0&1 \end{bmatrix}
\end{equation}
This could potentially be used to transform singular matrices into non-singular matrices, find a determinant and the transfer back again. Further investigation is required on whether solutions are conserved under inverse transform, that is if in general \begin{equation}
\mathbf{A}\cdot\mathbf{B}=\mathbf{C} \\
T(T(\mathbf{A})\cdot T(\mathbf{B}))=\mathbf{C}\\
\end{equation}