Calculator Determinant Matrix
Calculate the determinant of a square matrix (2x2, 3x3, or 4x4). Input matrix entries and get the determinant value along with step-by-step explanation.
Published by:
isCalculator Editorial Team
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How to use this tool?
This calculator computes the determinant of a square matrix (2x2, 3x3, or 4x4). Follow these steps:
- Select matrix size from the dropdown (2x2, 3x3, or 4x4).
- Enter numeric values into each input field. Use decimal numbers (e.g.,
3.5) or integers. All inputs are required; leave no field empty. - Click "Calculate Determinant" to compute the result.
- View the result displayed as
Det = [value]below the button. Step-by-step calculation is shown for 2x2 and 3x3 matrices; for 4x4, Laplace expansion is used.
Note: If any input is invalid or missing, an error message will appear. The calculator uses real numbers (no complex numbers).
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Frequently Asked Questions
The determinant is a scalar value that can be computed from the elements of a square matrix. It provides important information about the matrix, such as whether it is invertible and the volume scaling factor of the linear transformation.
For a 2x2 matrix [[a, b], [c, d]], the determinant is ad - bc.
A zero determinant indicates that the matrix is singular (non-invertible). The rows or columns are linearly dependent.
