Benedict Irwin edited section_Alternative_Interpretation_An_important__.tex  almost 9 years ago

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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}