A formula for calculating the solution of a nonsingular system of linear equations. Cramer's rule states that the solution of the (n × n) nonsingular linear system Ax = b is x i = det A i(b)/det A, i = 1, ..., n, where det A is the determinant of A, and det A i(b) is the determinant of the matrix obtained by replacing the ith column of A by the right-hand side vector b. This rule is inefficient for numerical computation and its main use is in theoretical analysis. See Matrices and matrix algebra.
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© 2001 Kluwer Academic Publishers
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Gass, S.I., Harris, C.M. (2001). Cramer's Rule . In: Gass, S.I., Harris, C.M. (eds) Encyclopedia of Operations Research and Management Science. Springer, New York, NY. https://doi.org/10.1007/1-4020-0611-X_186
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DOI: https://doi.org/10.1007/1-4020-0611-X_186
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