# Service for Solving Linear Programming Problems

and other interesting typical problems
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Welcome
To explain the solution of your typical problems is the main idea of creating this site.
Please keep in mind that the solution may differ from the one made at your educational institution.
Other interesting typical problems:
Matrix Determinant
Each square matrix is associated a number called the matrix determinant. There are rules that allow to calculate determinants.
The calculator algorithm is able to use elementary transformations of the determinant.
Elementary transformations makes it easier to calculate the determinant, but this is possible only for simple problems.
The solution is accompanied by a large number of illustrations.
Example ¹1. Finding the determinant of a 3x3 matrix
Example ¹2. Finding the determinant of a 4x4 matrix
Example ¹3. Finding the determinant of a 5x5 matrix
Cramer's Rule
Cramer’s rule uses determinants to solve systems of linear equations.
The calculator algorithm is able to use elementary transformations of the determinant.
The solution is accompanied by a large number of illustrations.
Example ¹1. Solving of a 2x2 system of linear equations by the Cramer's rule
Example ¹2. Solving of a 3x3 system of linear equations by the Cramer's rule
Inverse Matrix
The inverse matrix can be calculated only for square matrices, but not every square matrix has an inverse matrix.
If the found matrix A-1 is inverse for the given matrix A, then A-1 * A = A * A-1 = E.
This calculator uses the algebraic additions to calculate the inverse matrix.
The solution is accompanied by a large number of illustrations.
Example ¹1. Finding the inverse of a 2x2 matrix
Example ¹2. Finding the inverse of a 3x3 matrix