Solving Systems of Linear Equations Using Cramer's rule
Solving Systems of Linear Equations Using Cramer's rule
Solving Systems of Linear Equations Using Cramer's rule
Cramer's rule:
Cramer's rule:
For linear system , if , then the system has the unique solution,
where is the matrix obtained by replacing the i-th column of A by b.
Example 1:
Solve for the following system of linear equations by Cramer's rule,
Solution:
The coefficient matrix A and the vector b are
,
respectively. Then,
Thus, .