Matrix determinant calculator
This matrix determinant calculator help you to find the determinant of a matrix.
Using this online calculator, you will receive a detailed step-by-step solution to your problem, which will help you understand the algorithm how to find the determinant of a matrix.
Find Matrix determinant
Select the matrix size:
Please enter the matrice:
Entering data into the matrix determinant calculator
You can input only integer numbers or fractions in this online calculator. More in-depth information read at these rules.
Additional features of the matrix determinant calculator
- Use , , and keys on keyboard to move between field in calculator.
Theory. Determinant of a matrix
Determinant of 2×2 matrix
Rule:For a matrix of 2×2 the determinant is equal to the difference between the value of products of elements of the main diagonal and antidiagonal:
|= a11·a22 - a12·a21|
Triangle's rule for determinant of 3×3 matrix
Rule:The value of the determinant is equal to the sum of products of main diagonal elements and products of elements lying on the triangles with side which parallel to the main diagonal, from which subtracted the product of the antidiagonal elements and products of elements lying on the triangles with side which parallel to the antidiagonal.
= a11·a22·a33 + a12·a23·a31 + a13·a21·a32 - a13·a22·a31 - a11·a23·a32 - a12·a21·a33
Determinant of n×n matrixTo calculate the determinant of n×n size are often used:
You can input only integer numbers, decimals or fractions in this online calculator (-2.4, 5/7, ...). More in-depth information read at these rules.
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