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Cramer's Rule can be used to solve a system of linear equations:

Given a system of linear equations A*x=b where A is an invertible square matrix, the theorem says that xi = det(Ai)/det(A) i=1,...,n. Ai is a matrix formed by replacing the ith column of A with the vector b.

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Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva