|« Introduction to Determinant||
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.
Solve for the following system of linear equations by Cramer's rule,
The coefficient matrix A and the vector b are
Consider the triangle with vertices and .
The area of the triangle is
Compute the area of the triangle with vertices and .
The area is
Suppose we have a parallelogram with vertices , and ,
Then, the area of the parallelogram is