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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 x_i = det(A_i)/det(A) i=1,...,n. A_i is a matrix formed by replacing the ith column of A with the vector b. |
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| + | [[Category:MA453Spring2009Walther]] | ||
Latest revision as of 15:43, 27 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 x_i = det(A_i)/det(A) i=1,...,n. A_i is a matrix formed by replacing the ith column of A with the vector b.
