(New page: 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 <math><img class="t...) |
|||
| (3 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
| − | 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. |
| + | |||
| + | [[Category:MA453Spring2009Walther]] | ||
Latest revision as of 16:43, 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.
