Abstract

Linear equations of the form A * x = b with the non-singular quadratic matrix A and the result vector b have a unique solution because the determinant of A is not zero. If the coefficients of A and of b are rational numbers then the solution is also rational.

Linear_Equations_with_rational_coefficients

See also

sbNRN

Literature

(External Link!) Oliver Aberth, A method for exact computation with rational numbers, JCAM, vol 4, no. 4, 1978

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