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\end{bmatrix}  \end{equation}  The ordering of the column vecotrs has been chosen as an unravelling of the rank three tensors above. The determinant of this matrix is 1, thus it is unimodular, and is integer invertible, although the elements need not be integers, so any non-singular matrix will do. There exists a solution, which we knew as by inserting the identity matrix into the general problem we would retrieve an effective solution of the vector transform.