What is the Eigenvalue Calculator?
The eigenvalue calculator is a free online tool that helps you work out eigenvalue quickly and accurately. It uses the standard formula Compute determinant, inverse or transpose of a square matrix and shows the result instantly as you type, along with a full breakdown so you can see exactly how the answer was reached.
How to use this calculator
- Enter the matrix.
- Choose the operation.
- See the result.
Formula used
Compute determinant, inverse or transpose of a square matrixExplanation of each input
- Matrix (rows separated by ;) โ the matrix (rows separated by ;) used in the calculation.
- Operation โ the operation used in the calculation.
Understanding your result
- Result โ the calculated result.
Step-by-step calculation
For the example values det [[1,2],[3,4]]:
- Apply the formula:
Compute determinant, inverse or transpose of a square matrix - Substitute the values: 1x4 - 2x3
- Result: -2
Worked example
| Inputs | det [[1,2],[3,4]] |
|---|---|
| Working | 1x4 - 2x3 |
| Result | -2 |
Benefits and practical uses
This calculator saves you time and reduces errors when you need eigenvalue. It is useful for students, professionals and anyone who wants a fast, reliable answer without manual calculation. Results update instantly, work in your browser and can be copied or shared in one click.
Assumptions and limitations
- Square matrix for det/inverse.
Frequently asked questions
When does a matrix have an inverse?
Only square matrices with a non-zero determinant are invertible.
Disclaimer: Results are provided for general information. Please verify important figures independently.