Determinante 3×3

The 3x3 determinant calculator uses Sarrus' Rule to compute the determinant of a 3x3 square matrix. The method involves repeating the first two columns to the right of the matrix, summing the products of the main diagonals, and subtracting the sum of the products of the secondary diagonals. The result is a real number representing an important matrix property.

This tool is useful for students and professionals working with linear algebra, analytic geometry, or systems of linear equations. The determinant of a 3x3 matrix is used to check if the matrix is invertible, calculate areas of triangles in the plane, solve linear systems using Cramer's rule, and analyze linear transformations in three-dimensional space.

To use the calculator, enter the nine matrix elements in the corresponding fields. The calculation is performed automatically, displaying the determinant and intermediate steps. Note that Sarrus' Rule only applies to 3x3 matrices. For larger matrices, other methods such as Gaussian elimination or cofactor expansion are required.

Be careful when entering values: ensure they are real numbers (decimals or fractions allowed). The calculator does not accept letters or symbols. Also, verify that the matrix is correctly filled, as an error in a single element can completely change the determinant.