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Cramer's Rule can be used to solve a system of linear equations: | 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 | + | 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. |
Revision as of 12:51, 19 January 2009
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.
