Cramer's Rule

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 A_i be an n × n matrix obtained from A by replacing the ith column by b. If det(A) ≠ 0, then the solution
of Ax = b is given by

Example Let ,and

. 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.