Computing Unimodular Matrices of Power Transformations

An algorithm for solving the following problem is described. Let m < n integer vectors in the n‑dimensional real space be given. Their linear span forms a linear subspace L in $${{\mathbb{R}}^{n}}$$ . It is required to find a unimodular matrix such that the linear transformation defined by it takes the subspace L into a coordinate subspace. Computer programs implementing the proposed algorithms and the power transforms for which they are designed are described.

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