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Factoring 2x2 Matrices with Determinant of ±1 and Integer Elements
We prove that all 2x2 matrices, as long as they meet our specifications, have a dominant column in absolute value and can be factored to a product involving three specific matrices.
Factoring 2x2 Matrices with Determinant of ±1
We examine properties of multiplying and factoring 2×2 matrices to prove that there exist two generators to which all other 2×2 matrices factor. We prove that all matrices fitting out specifications must have a dominant ...