Using de terminants to solve systems of linear equations :
Ax = b where A is an n × n matrix and det(A) ≠ 0.
Cramers Rule :
Let Ai be an n × n matrix obtained from A by replacing the ith column by b. If
det(A) ≠ 0, then the solution
= b is given by
. Solve Ax
= v and Fx = u using Cramers Rule.
Example Solve Ax = b where
if the solution exists .
For x ≠ 0, Ax = b has a unique solution.
Copyright © 2009, algebra-online.com. All rights reserved.